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Finding the Fourth Proportional to 7,155.29, 9,874.29 and 4,360.79

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Solution

The fourth proportional to 7,155.29, 9,874.29 and 4,360.79 is: 6,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.29 : 9,874.29 = 4,360.79 : x
  2. Step 2: Convert to fraction form
    7,155.29/9,874.29 = 4,360.79/x
  3. Step 3: Cross multiply
    7,155.29x = 9,874.29 × 4,360.79
  4. Step 4: Simplify right side
    7,155.29x = 43,059,705.09
  5. Step 5: Solve for x
    x = 43,059,705.09/7,155.29
  6. Step 6: Final answer
    x = 6,017.88

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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.