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Finding the Fourth Proportional to 10,543.61, 14,553.85 and 6,777.11

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Solution

The fourth proportional to 10,543.61, 14,553.85 and 6,777.11 is: 9,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.61 : 14,553.85 = 6,777.11 : x
  2. Step 2: Convert to fraction form
    10,543.61/14,553.85 = 6,777.11/x
  3. Step 3: Cross multiply
    10,543.61x = 14,553.85 × 6,777.11
  4. Step 4: Simplify right side
    10,543.61x = 98,633,061.82
  5. Step 5: Solve for x
    x = 98,633,061.82/10,543.61
  6. Step 6: Final answer
    x = 9,354.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.