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Finding the Fourth Proportional to 4,947.68, 7,421.88 and 2,998.16

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Solution

The fourth proportional to 4,947.68, 7,421.88 and 2,998.16 is: 4,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.68 : 7,421.88 = 2,998.16 : x
  2. Step 2: Convert to fraction form
    4,947.68/7,421.88 = 2,998.16/x
  3. Step 3: Cross multiply
    4,947.68x = 7,421.88 × 2,998.16
  4. Step 4: Simplify right side
    4,947.68x = 22,251,983.74
  5. Step 5: Solve for x
    x = 22,251,983.74/4,947.68
  6. Step 6: Final answer
    x = 4,497.46

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1.5x scale

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.