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Finding the Fourth Proportional to 5,470.61, 7,549.43 and 2,986.61

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Solution

The fourth proportional to 5,470.61, 7,549.43 and 2,986.61 is: 4,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.61 : 7,549.43 = 2,986.61 : x
  2. Step 2: Convert to fraction form
    5,470.61/7,549.43 = 2,986.61/x
  3. Step 3: Cross multiply
    5,470.61x = 7,549.43 × 2,986.61
  4. Step 4: Simplify right side
    5,470.61x = 22,547,150.45
  5. Step 5: Solve for x
    x = 22,547,150.45/5,470.61
  6. Step 6: Final answer
    x = 4,121.51

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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.