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Finding the Fourth Proportional to 7,144.32, 9,859.16 and 4,000.58

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Solution

The fourth proportional to 7,144.32, 9,859.16 and 4,000.58 is: 5,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.32 : 9,859.16 = 4,000.58 : x
  2. Step 2: Convert to fraction form
    7,144.32/9,859.16 = 4,000.58/x
  3. Step 3: Cross multiply
    7,144.32x = 9,859.16 × 4,000.58
  4. Step 4: Simplify right side
    7,144.32x = 39,442,289.01
  5. Step 5: Solve for x
    x = 39,442,289.01/7,144.32
  6. Step 6: Final answer
    x = 5,520.79

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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.