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Finding the Fourth Proportional to 8,565.70, 12,850.38 and 3,637.66

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Solution

The fourth proportional to 8,565.70, 12,850.38 and 3,637.66 is: 5,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.70 : 12,850.38 = 3,637.66 : x
  2. Step 2: Convert to fraction form
    8,565.70/12,850.38 = 3,637.66/x
  3. Step 3: Cross multiply
    8,565.70x = 12,850.38 × 3,637.66
  4. Step 4: Simplify right side
    8,565.70x = 46,745,313.31
  5. Step 5: Solve for x
    x = 46,745,313.31/8,565.70
  6. Step 6: Final answer
    x = 5,457.27

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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.