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Finding the Fourth Proportional to 10,539, 14,545.10 and 6,123

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Solution

The fourth proportional to 10,539, 14,545.10 and 6,123 is: 8,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 14,545.10 = 6,123 : x
  2. Step 2: Convert to fraction form
    10,539/14,545.10 = 6,123/x
  3. Step 3: Cross multiply
    10,539x = 14,545.10 × 6,123
  4. Step 4: Simplify right side
    10,539x = 89,059,647.30
  5. Step 5: Solve for x
    x = 89,059,647.30/10,539
  6. Step 6: Final answer
    x = 8,450.48

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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.