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Finding the Fourth Proportional to 20,920.32, 31,380.48 and 7,776

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Solution

The fourth proportional to 20,920.32, 31,380.48 and 7,776 is: 11,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.32 : 31,380.48 = 7,776 : x
  2. Step 2: Convert to fraction form
    20,920.32/31,380.48 = 7,776/x
  3. Step 3: Cross multiply
    20,920.32x = 31,380.48 × 7,776
  4. Step 4: Simplify right side
    20,920.32x = 244,014,612.48
  5. Step 5: Solve for x
    x = 244,014,612.48/20,920.32
  6. Step 6: Final answer
    x = 11,664

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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.