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Finding the Fourth Proportional to 21,565.96, 32,348.96 and 6,776

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Solution

The fourth proportional to 21,565.96, 32,348.96 and 6,776 is: 10,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.96 : 32,348.96 = 6,776 : x
  2. Step 2: Convert to fraction form
    21,565.96/32,348.96 = 6,776/x
  3. Step 3: Cross multiply
    21,565.96x = 32,348.96 × 6,776
  4. Step 4: Simplify right side
    21,565.96x = 219,196,552.96
  5. Step 5: Solve for x
    x = 219,196,552.96/21,565.96
  6. Step 6: Final answer
    x = 10,164.01

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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.