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Finding the Fourth Proportional to 6,112.80, 9,158.40 and 5,011.20

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Solution

The fourth proportional to 6,112.80, 9,158.40 and 5,011.20 is: 7,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.80 : 9,158.40 = 5,011.20 : x
  2. Step 2: Convert to fraction form
    6,112.80/9,158.40 = 5,011.20/x
  3. Step 3: Cross multiply
    6,112.80x = 9,158.40 × 5,011.20
  4. Step 4: Simplify right side
    6,112.80x = 45,894,574.08
  5. Step 5: Solve for x
    x = 45,894,574.08/6,112.80
  6. Step 6: Final answer
    x = 7,507.95

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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.