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Finding the Fourth Proportional to 7,872.64, 10,860.80 and 4,727

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Solution

The fourth proportional to 7,872.64, 10,860.80 and 4,727 is: 6,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.64 : 10,860.80 = 4,727 : x
  2. Step 2: Convert to fraction form
    7,872.64/10,860.80 = 4,727/x
  3. Step 3: Cross multiply
    7,872.64x = 10,860.80 × 4,727
  4. Step 4: Simplify right side
    7,872.64x = 51,339,001.60
  5. Step 5: Solve for x
    x = 51,339,001.60/7,872.64
  6. Step 6: Final answer
    x = 6,521.19

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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.