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Finding the Fourth Proportional to 6,423.64, 8,864.88 and 4,849

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Solution

The fourth proportional to 6,423.64, 8,864.88 and 4,849 is: 6,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.64 : 8,864.88 = 4,849 : x
  2. Step 2: Convert to fraction form
    6,423.64/8,864.88 = 4,849/x
  3. Step 3: Cross multiply
    6,423.64x = 8,864.88 × 4,849
  4. Step 4: Simplify right side
    6,423.64x = 42,985,803.12
  5. Step 5: Solve for x
    x = 42,985,803.12/6,423.64
  6. Step 6: Final answer
    x = 6,691.81

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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.