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Finding the Fourth Proportional to 7,954.85, 10,978.89 and 5,724.11

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Solution

The fourth proportional to 7,954.85, 10,978.89 and 5,724.11 is: 7,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.85 : 10,978.89 = 5,724.11 : x
  2. Step 2: Convert to fraction form
    7,954.85/10,978.89 = 5,724.11/x
  3. Step 3: Cross multiply
    7,954.85x = 10,978.89 × 5,724.11
  4. Step 4: Simplify right side
    7,954.85x = 62,844,374.04
  5. Step 5: Solve for x
    x = 62,844,374.04/7,954.85
  6. Step 6: Final answer
    x = 7,900.13

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1.5x scale

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.