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Finding the Fourth Proportional to 7,167.63, 9,869.90 and 6,644.91

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Solution

The fourth proportional to 7,167.63, 9,869.90 and 6,644.91 is: 9,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.63 : 9,869.90 = 6,644.91 : x
  2. Step 2: Convert to fraction form
    7,167.63/9,869.90 = 6,644.91/x
  3. Step 3: Cross multiply
    7,167.63x = 9,869.90 × 6,644.91
  4. Step 4: Simplify right side
    7,167.63x = 65,584,555.92
  5. Step 5: Solve for x
    x = 65,584,555.92/7,167.63
  6. Step 6: Final answer
    x = 9,150.11

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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.