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Finding the Fourth Proportional to 20,565.96, 30,807.81 and 9,457.44

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Solution

The fourth proportional to 20,565.96, 30,807.81 and 9,457.44 is: 14,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.96 : 30,807.81 = 9,457.44 : x
  2. Step 2: Convert to fraction form
    20,565.96/30,807.81 = 9,457.44/x
  3. Step 3: Cross multiply
    20,565.96x = 30,807.81 × 9,457.44
  4. Step 4: Simplify right side
    20,565.96x = 291,363,014.61
  5. Step 5: Solve for x
    x = 291,363,014.61/20,565.96
  6. Step 6: Final answer
    x = 14,167.25

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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.