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Finding the Fourth Proportional to 7,158.66, 9,876.93 and 4,640.88

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Solution

The fourth proportional to 7,158.66, 9,876.93 and 4,640.88 is: 6,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.66 : 9,876.93 = 4,640.88 : x
  2. Step 2: Convert to fraction form
    7,158.66/9,876.93 = 4,640.88/x
  3. Step 3: Cross multiply
    7,158.66x = 9,876.93 × 4,640.88
  4. Step 4: Simplify right side
    7,158.66x = 45,837,646.90
  5. Step 5: Solve for x
    x = 45,837,646.90/7,158.66
  6. Step 6: Final answer
    x = 6,403.10

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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.