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Finding the Fourth Proportional to 12,165.71, 18,267.66 and 7,257.24

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Solution

The fourth proportional to 12,165.71, 18,267.66 and 7,257.24 is: 10,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.71 : 18,267.66 = 7,257.24 : x
  2. Step 2: Convert to fraction form
    12,165.71/18,267.66 = 7,257.24/x
  3. Step 3: Cross multiply
    12,165.71x = 18,267.66 × 7,257.24
  4. Step 4: Simplify right side
    12,165.71x = 132,572,792.86
  5. Step 5: Solve for x
    x = 132,572,792.86/12,165.71
  6. Step 6: Final answer
    x = 10,897.25

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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.