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Finding the Fourth Proportional to 25,776, 38,656.32 and 9,978.24

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Solution

The fourth proportional to 25,776, 38,656.32 and 9,978.24 is: 14,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776 : 38,656.32 = 9,978.24 : x
  2. Step 2: Convert to fraction form
    25,776/38,656.32 = 9,978.24/x
  3. Step 3: Cross multiply
    25,776x = 38,656.32 × 9,978.24
  4. Step 4: Simplify right side
    25,776x = 385,722,038.48
  5. Step 5: Solve for x
    x = 385,722,038.48/25,776
  6. Step 6: Final answer
    x = 14,964.39

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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.