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Finding the Fourth Proportional to 5,470.68, 7,549.50 and 2,986.68

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Solution

The fourth proportional to 5,470.68, 7,549.50 and 2,986.68 is: 4,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.68 : 7,549.50 = 2,986.68 : x
  2. Step 2: Convert to fraction form
    5,470.68/7,549.50 = 2,986.68/x
  3. Step 3: Cross multiply
    5,470.68x = 7,549.50 × 2,986.68
  4. Step 4: Simplify right side
    5,470.68x = 22,547,940.66
  5. Step 5: Solve for x
    x = 22,547,940.66/5,470.68
  6. Step 6: Final answer
    x = 4,121.60

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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.