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Finding the Fourth Proportional to 7,568, 10,437.12 and 4,912.88

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Solution

The fourth proportional to 7,568, 10,437.12 and 4,912.88 is: 6,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568 : 10,437.12 = 4,912.88 : x
  2. Step 2: Convert to fraction form
    7,568/10,437.12 = 4,912.88/x
  3. Step 3: Cross multiply
    7,568x = 10,437.12 × 4,912.88
  4. Step 4: Simplify right side
    7,568x = 51,276,318.11
  5. Step 5: Solve for x
    x = 51,276,318.11/7,568
  6. Step 6: Final answer
    x = 6,775.41

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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.