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Finding the Fourth Proportional to 15,723.23, 23,545.94 and 9,129.42

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Solution

The fourth proportional to 15,723.23, 23,545.94 and 9,129.42 is: 13,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.23 : 23,545.94 = 9,129.42 : x
  2. Step 2: Convert to fraction form
    15,723.23/23,545.94 = 9,129.42/x
  3. Step 3: Cross multiply
    15,723.23x = 23,545.94 × 9,129.42
  4. Step 4: Simplify right side
    15,723.23x = 214,960,729.91
  5. Step 5: Solve for x
    x = 214,960,729.91/15,723.23
  6. Step 6: Final answer
    x = 13,671.54

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1.5x scale

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.