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Finding the Fourth Proportional to 7,153.41, 9,870.96 and 4,168.61

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Solution

The fourth proportional to 7,153.41, 9,870.96 and 4,168.61 is: 5,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.41 : 9,870.96 = 4,168.61 : x
  2. Step 2: Convert to fraction form
    7,153.41/9,870.96 = 4,168.61/x
  3. Step 3: Cross multiply
    7,153.41x = 9,870.96 × 4,168.61
  4. Step 4: Simplify right side
    7,153.41x = 41,148,241.38
  5. Step 5: Solve for x
    x = 41,148,241.38/7,153.41
  6. Step 6: Final answer
    x = 5,752.25

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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.