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Finding the Fourth Proportional to 7,166.53, 9,871.23 and 5,146.97

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Solution

The fourth proportional to 7,166.53, 9,871.23 and 5,146.97 is: 7,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.53 : 9,871.23 = 5,146.97 : x
  2. Step 2: Convert to fraction form
    7,166.53/9,871.23 = 5,146.97/x
  3. Step 3: Cross multiply
    7,166.53x = 9,871.23 × 5,146.97
  4. Step 4: Simplify right side
    7,166.53x = 50,806,900.67
  5. Step 5: Solve for x
    x = 50,806,900.67/7,166.53
  6. Step 6: Final answer
    x = 7,089.47

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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.