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Finding the Fourth Proportional to 18,349.40, 25,332.68 and 12,080

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Solution

The fourth proportional to 18,349.40, 25,332.68 and 12,080 is: 16,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349.40 : 25,332.68 = 12,080 : x
  2. Step 2: Convert to fraction form
    18,349.40/25,332.68 = 12,080/x
  3. Step 3: Cross multiply
    18,349.40x = 25,332.68 × 12,080
  4. Step 4: Simplify right side
    18,349.40x = 306,018,774.40
  5. Step 5: Solve for x
    x = 306,018,774.40/18,349.40
  6. Step 6: Final answer
    x = 16,677.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.