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Finding the Fourth Proportional to 10,882.91, 15,015.07 and 7,048.47

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Solution

The fourth proportional to 10,882.91, 15,015.07 and 7,048.47 is: 9,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.91 : 15,015.07 = 7,048.47 : x
  2. Step 2: Convert to fraction form
    10,882.91/15,015.07 = 7,048.47/x
  3. Step 3: Cross multiply
    10,882.91x = 15,015.07 × 7,048.47
  4. Step 4: Simplify right side
    10,882.91x = 105,833,251.10
  5. Step 5: Solve for x
    x = 105,833,251.10/10,882.91
  6. Step 6: Final answer
    x = 9,724.72

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1.5x scale

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.