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Finding the Fourth Proportional to 8,487.14, 11,709.68 and 4,949.72

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Solution

The fourth proportional to 8,487.14, 11,709.68 and 4,949.72 is: 6,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.14 : 11,709.68 = 4,949.72 : x
  2. Step 2: Convert to fraction form
    8,487.14/11,709.68 = 4,949.72/x
  3. Step 3: Cross multiply
    8,487.14x = 11,709.68 × 4,949.72
  4. Step 4: Simplify right side
    8,487.14x = 57,959,637.29
  5. Step 5: Solve for x
    x = 57,959,637.29/8,487.14
  6. Step 6: Final answer
    x = 6,829.11

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1.5x scale

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.