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Finding the Fourth Proportional to 7,217.53, 9,962.88 and 4,234.30

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Solution

The fourth proportional to 7,217.53, 9,962.88 and 4,234.30 is: 5,844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.53 : 9,962.88 = 4,234.30 : x
  2. Step 2: Convert to fraction form
    7,217.53/9,962.88 = 4,234.30/x
  3. Step 3: Cross multiply
    7,217.53x = 9,962.88 × 4,234.30
  4. Step 4: Simplify right side
    7,217.53x = 42,185,822.78
  5. Step 5: Solve for x
    x = 42,185,822.78/7,217.53
  6. Step 6: Final answer
    x = 5,844.91

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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.