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Finding the Fourth Proportional to 18,423.72, 25,424.10 and 10,465.80

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Solution

The fourth proportional to 18,423.72, 25,424.10 and 10,465.80 is: 14,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,423.72 : 25,424.10 = 10,465.80 : x
  2. Step 2: Convert to fraction form
    18,423.72/25,424.10 = 10,465.80/x
  3. Step 3: Cross multiply
    18,423.72x = 25,424.10 × 10,465.80
  4. Step 4: Simplify right side
    18,423.72x = 266,083,545.78
  5. Step 5: Solve for x
    x = 266,083,545.78/18,423.72
  6. Step 6: Final answer
    x = 14,442.44

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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.