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Finding the Fourth Proportional to 7,123.47, 9,827.77 and 4,469.91

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Solution

The fourth proportional to 7,123.47, 9,827.77 and 4,469.91 is: 6,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.47 : 9,827.77 = 4,469.91 : x
  2. Step 2: Convert to fraction form
    7,123.47/9,827.77 = 4,469.91/x
  3. Step 3: Cross multiply
    7,123.47x = 9,827.77 × 4,469.91
  4. Step 4: Simplify right side
    7,123.47x = 43,929,247.40
  5. Step 5: Solve for x
    x = 43,929,247.40/7,123.47
  6. Step 6: Final answer
    x = 6,166.83

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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.