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Finding the Fourth Proportional to 1,559.40, 2,151.60 and 930.16

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Solution

The fourth proportional to 1,559.40, 2,151.60 and 930.16 is: 1,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.40 : 2,151.60 = 930.16 : x
  2. Step 2: Convert to fraction form
    1,559.40/2,151.60 = 930.16/x
  3. Step 3: Cross multiply
    1,559.40x = 2,151.60 × 930.16
  4. Step 4: Simplify right side
    1,559.40x = 2,001,342.33
  5. Step 5: Solve for x
    x = 2,001,342.33/1,559.40
  6. Step 6: Final answer
    x = 1,283.40

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Double scale
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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.