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Finding the Fourth Proportional to 7,151.36, 9,869.48 and 4,167.44

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Solution

The fourth proportional to 7,151.36, 9,869.48 and 4,167.44 is: 5,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.36 : 9,869.48 = 4,167.44 : x
  2. Step 2: Convert to fraction form
    7,151.36/9,869.48 = 4,167.44/x
  3. Step 3: Cross multiply
    7,151.36x = 9,869.48 × 4,167.44
  4. Step 4: Simplify right side
    7,151.36x = 41,130,465.73
  5. Step 5: Solve for x
    x = 41,130,465.73/7,151.36
  6. Step 6: Final answer
    x = 5,751.42

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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.