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Finding the Fourth Proportional to 9,872.64, 14,807.04 and 2,949.12

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Solution

The fourth proportional to 9,872.64, 14,807.04 and 2,949.12 is: 4,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.64 : 14,807.04 = 2,949.12 : x
  2. Step 2: Convert to fraction form
    9,872.64/14,807.04 = 2,949.12/x
  3. Step 3: Cross multiply
    9,872.64x = 14,807.04 × 2,949.12
  4. Step 4: Simplify right side
    9,872.64x = 43,667,737.80
  5. Step 5: Solve for x
    x = 43,667,737.80/9,872.64
  6. Step 6: Final answer
    x = 4,423.11

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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.