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Finding the Fourth Proportional to 5,139.66, 7,705.64 and 4,618.16

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Solution

The fourth proportional to 5,139.66, 7,705.64 and 4,618.16 is: 6,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.66 : 7,705.64 = 4,618.16 : x
  2. Step 2: Convert to fraction form
    5,139.66/7,705.64 = 4,618.16/x
  3. Step 3: Cross multiply
    5,139.66x = 7,705.64 × 4,618.16
  4. Step 4: Simplify right side
    5,139.66x = 35,585,851.44
  5. Step 5: Solve for x
    x = 35,585,851.44/5,139.66
  6. Step 6: Final answer
    x = 6,923.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.