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Finding the Fourth Proportional to 15,119.56, 22,646.52 and 7,312

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Solution

The fourth proportional to 15,119.56, 22,646.52 and 7,312 is: 10,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,119.56 : 22,646.52 = 7,312 : x
  2. Step 2: Convert to fraction form
    15,119.56/22,646.52 = 7,312/x
  3. Step 3: Cross multiply
    15,119.56x = 22,646.52 × 7,312
  4. Step 4: Simplify right side
    15,119.56x = 165,591,354.24
  5. Step 5: Solve for x
    x = 165,591,354.24/15,119.56
  6. Step 6: Final answer
    x = 10,952.13

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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.