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Finding the Fourth Proportional to 12,385.68, 18,563.16 and 8,730

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Solution

The fourth proportional to 12,385.68, 18,563.16 and 8,730 is: 13,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.68 : 18,563.16 = 8,730 : x
  2. Step 2: Convert to fraction form
    12,385.68/18,563.16 = 8,730/x
  3. Step 3: Cross multiply
    12,385.68x = 18,563.16 × 8,730
  4. Step 4: Simplify right side
    12,385.68x = 162,056,386.80
  5. Step 5: Solve for x
    x = 162,056,386.80/12,385.68
  6. Step 6: Final answer
    x = 13,084.17

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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.