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Finding the Fourth Proportional to 8,644.57, 11,931.01 and 6,387.64

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Solution

The fourth proportional to 8,644.57, 11,931.01 and 6,387.64 is: 8,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.57 : 11,931.01 = 6,387.64 : x
  2. Step 2: Convert to fraction form
    8,644.57/11,931.01 = 6,387.64/x
  3. Step 3: Cross multiply
    8,644.57x = 11,931.01 × 6,387.64
  4. Step 4: Simplify right side
    8,644.57x = 76,210,950.92
  5. Step 5: Solve for x
    x = 76,210,950.92/8,644.57
  6. Step 6: Final answer
    x = 8,816.05

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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.