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Finding the Fourth Proportional to 2,947.70, 4,421.54 and 756.42

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Solution

The fourth proportional to 2,947.70, 4,421.54 and 756.42 is: 1,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.70 : 4,421.54 = 756.42 : x
  2. Step 2: Convert to fraction form
    2,947.70/4,421.54 = 756.42/x
  3. Step 3: Cross multiply
    2,947.70x = 4,421.54 × 756.42
  4. Step 4: Simplify right side
    2,947.70x = 3,344,541.29
  5. Step 5: Solve for x
    x = 3,344,541.29/2,947.70
  6. Step 6: Final answer
    x = 1,134.63

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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.