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Finding the Fourth Proportional to 7,151.40, 9,869.22 and 4,007.52

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Solution

The fourth proportional to 7,151.40, 9,869.22 and 4,007.52 is: 5,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.40 : 9,869.22 = 4,007.52 : x
  2. Step 2: Convert to fraction form
    7,151.40/9,869.22 = 4,007.52/x
  3. Step 3: Cross multiply
    7,151.40x = 9,869.22 × 4,007.52
  4. Step 4: Simplify right side
    7,151.40x = 39,551,096.53
  5. Step 5: Solve for x
    x = 39,551,096.53/7,151.40
  6. Step 6: Final answer
    x = 5,530.54

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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.