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Finding the Fourth Proportional to 8,639.88, 12,965.54 and 4,747

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Solution

The fourth proportional to 8,639.88, 12,965.54 and 4,747 is: 7,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.88 : 12,965.54 = 4,747 : x
  2. Step 2: Convert to fraction form
    8,639.88/12,965.54 = 4,747/x
  3. Step 3: Cross multiply
    8,639.88x = 12,965.54 × 4,747
  4. Step 4: Simplify right side
    8,639.88x = 61,547,418.38
  5. Step 5: Solve for x
    x = 61,547,418.38/8,639.88
  6. Step 6: Final answer
    x = 7,123.64

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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.