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Finding the Fourth Proportional to 1,347.89, 1,860.38 and 851.19

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Solution

The fourth proportional to 1,347.89, 1,860.38 and 851.19 is: 1,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.89 : 1,860.38 = 851.19 : x
  2. Step 2: Convert to fraction form
    1,347.89/1,860.38 = 851.19/x
  3. Step 3: Cross multiply
    1,347.89x = 1,860.38 × 851.19
  4. Step 4: Simplify right side
    1,347.89x = 1,583,532.60
  5. Step 5: Solve for x
    x = 1,583,532.60/1,347.89
  6. Step 6: Final answer
    x = 1,174.83

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Half scale
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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.