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Finding the Fourth Proportional to 1,302.38, 1,957.80 and 1,045.20

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Solution

The fourth proportional to 1,302.38, 1,957.80 and 1,045.20 is: 1,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.38 : 1,957.80 = 1,045.20 : x
  2. Step 2: Convert to fraction form
    1,302.38/1,957.80 = 1,045.20/x
  3. Step 3: Cross multiply
    1,302.38x = 1,957.80 × 1,045.20
  4. Step 4: Simplify right side
    1,302.38x = 2,046,291.71
  5. Step 5: Solve for x
    x = 2,046,291.71/1,302.38
  6. Step 6: Final answer
    x = 1,571.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.