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Finding the Fourth Proportional to 8,689.92, 11,992 and 4,711

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Solution

The fourth proportional to 8,689.92, 11,992 and 4,711 is: 6,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.92 : 11,992 = 4,711 : x
  2. Step 2: Convert to fraction form
    8,689.92/11,992 = 4,711/x
  3. Step 3: Cross multiply
    8,689.92x = 11,992 × 4,711
  4. Step 4: Simplify right side
    8,689.92x = 56,494,312
  5. Step 5: Solve for x
    x = 56,494,312/8,689.92
  6. Step 6: Final answer
    x = 6,501.13

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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.