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Finding the Fourth Proportional to 7,149.20, 9,865.88 and 4,354.68

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Solution

The fourth proportional to 7,149.20, 9,865.88 and 4,354.68 is: 6,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.20 : 9,865.88 = 4,354.68 : x
  2. Step 2: Convert to fraction form
    7,149.20/9,865.88 = 4,354.68/x
  3. Step 3: Cross multiply
    7,149.20x = 9,865.88 × 4,354.68
  4. Step 4: Simplify right side
    7,149.20x = 42,962,750.32
  5. Step 5: Solve for x
    x = 42,962,750.32/7,149.20
  6. Step 6: Final answer
    x = 6,009.45

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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.