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Finding the Fourth Proportional to 10,385.47, 15,578.07 and 7,045.42

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Solution

The fourth proportional to 10,385.47, 15,578.07 and 7,045.42 is: 10,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.47 : 15,578.07 = 7,045.42 : x
  2. Step 2: Convert to fraction form
    10,385.47/15,578.07 = 7,045.42/x
  3. Step 3: Cross multiply
    10,385.47x = 15,578.07 × 7,045.42
  4. Step 4: Simplify right side
    10,385.47x = 109,753,993.26
  5. Step 5: Solve for x
    x = 109,753,993.26/10,385.47
  6. Step 6: Final answer
    x = 10,568.03

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1.5x scale

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.