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Finding the Fourth Proportional to 7,151.76, 9,869.04 and 4,127.22

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Solution

The fourth proportional to 7,151.76, 9,869.04 and 4,127.22 is: 5,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.76 : 9,869.04 = 4,127.22 : x
  2. Step 2: Convert to fraction form
    7,151.76/9,869.04 = 4,127.22/x
  3. Step 3: Cross multiply
    7,151.76x = 9,869.04 × 4,127.22
  4. Step 4: Simplify right side
    7,151.76x = 40,731,699.27
  5. Step 5: Solve for x
    x = 40,731,699.27/7,151.76
  6. Step 6: Final answer
    x = 5,695.34

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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.