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Finding the Fourth Proportional to 6,862.90, 9,470.81 and 3,719.06

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Solution

The fourth proportional to 6,862.90, 9,470.81 and 3,719.06 is: 5,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.90 : 9,470.81 = 3,719.06 : x
  2. Step 2: Convert to fraction form
    6,862.90/9,470.81 = 3,719.06/x
  3. Step 3: Cross multiply
    6,862.90x = 9,470.81 × 3,719.06
  4. Step 4: Simplify right side
    6,862.90x = 35,222,510.64
  5. Step 5: Solve for x
    x = 35,222,510.64/6,862.90
  6. Step 6: Final answer
    x = 5,132.31

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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.