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Finding the Fourth Proportional to 1,676.19, 2,313.09 and 930.12

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Solution

The fourth proportional to 1,676.19, 2,313.09 and 930.12 is: 1,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.19 : 2,313.09 = 930.12 : x
  2. Step 2: Convert to fraction form
    1,676.19/2,313.09 = 930.12/x
  3. Step 3: Cross multiply
    1,676.19x = 2,313.09 × 930.12
  4. Step 4: Simplify right side
    1,676.19x = 2,151,451.27
  5. Step 5: Solve for x
    x = 2,151,451.27/1,676.19
  6. Step 6: Final answer
    x = 1,283.54

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,677.19, 2,314.47 and 931.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.