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Finding the Fourth Proportional to 3,128.78, 4,693.19 and 938.13

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Solution

The fourth proportional to 3,128.78, 4,693.19 and 938.13 is: 1,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.78 : 4,693.19 = 938.13 : x
  2. Step 2: Convert to fraction form
    3,128.78/4,693.19 = 938.13/x
  3. Step 3: Cross multiply
    3,128.78x = 4,693.19 × 938.13
  4. Step 4: Simplify right side
    3,128.78x = 4,402,817.64
  5. Step 5: Solve for x
    x = 4,402,817.64/3,128.78
  6. Step 6: Final answer
    x = 1,407.20

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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.