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Finding the Fourth Proportional to 27,978.16, 38,610.12 and 15,403

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Solution

The fourth proportional to 27,978.16, 38,610.12 and 15,403 is: 21,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.16 : 38,610.12 = 15,403 : x
  2. Step 2: Convert to fraction form
    27,978.16/38,610.12 = 15,403/x
  3. Step 3: Cross multiply
    27,978.16x = 38,610.12 × 15,403
  4. Step 4: Simplify right side
    27,978.16x = 594,711,678.36
  5. Step 5: Solve for x
    x = 594,711,678.36/27,978.16
  6. Step 6: Final answer
    x = 21,256.28

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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.