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Finding the Fourth Proportional to 7,500, 10,350.10 and 4,142.90

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Solution

The fourth proportional to 7,500, 10,350.10 and 4,142.90 is: 5,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500 : 10,350.10 = 4,142.90 : x
  2. Step 2: Convert to fraction form
    7,500/10,350.10 = 4,142.90/x
  3. Step 3: Cross multiply
    7,500x = 10,350.10 × 4,142.90
  4. Step 4: Simplify right side
    7,500x = 42,879,429.29
  5. Step 5: Solve for x
    x = 42,879,429.29/7,500
  6. Step 6: Final answer
    x = 5,717.26

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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.