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Finding the Fourth Proportional to 4,751.64, 7,129.90 and 2,154.24

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Solution

The fourth proportional to 4,751.64, 7,129.90 and 2,154.24 is: 3,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.64 : 7,129.90 = 2,154.24 : x
  2. Step 2: Convert to fraction form
    4,751.64/7,129.90 = 2,154.24/x
  3. Step 3: Cross multiply
    4,751.64x = 7,129.90 × 2,154.24
  4. Step 4: Simplify right side
    4,751.64x = 15,359,515.78
  5. Step 5: Solve for x
    x = 15,359,515.78/4,751.64
  6. Step 6: Final answer
    x = 3,232.47

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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.