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Finding the Fourth Proportional to 7,149.47, 9,866.88 and 4,165.58

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Solution

The fourth proportional to 7,149.47, 9,866.88 and 4,165.58 is: 5,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.47 : 9,866.88 = 4,165.58 : x
  2. Step 2: Convert to fraction form
    7,149.47/9,866.88 = 4,165.58/x
  3. Step 3: Cross multiply
    7,149.47x = 9,866.88 × 4,165.58
  4. Step 4: Simplify right side
    7,149.47x = 41,101,302.66
  5. Step 5: Solve for x
    x = 41,101,302.66/7,149.47
  6. Step 6: Final answer
    x = 5,748.86

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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.