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Finding the Fourth Proportional to 15,116.64, 22,642.06 and 7,309

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Solution

The fourth proportional to 15,116.64, 22,642.06 and 7,309 is: 10,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.64 : 22,642.06 = 7,309 : x
  2. Step 2: Convert to fraction form
    15,116.64/22,642.06 = 7,309/x
  3. Step 3: Cross multiply
    15,116.64x = 22,642.06 × 7,309
  4. Step 4: Simplify right side
    15,116.64x = 165,490,816.54
  5. Step 5: Solve for x
    x = 165,490,816.54/15,116.64
  6. Step 6: Final answer
    x = 10,947.59

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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.