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Finding the Fourth Proportional to 3,124.70, 4,687.32 and 933.20

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Solution

The fourth proportional to 3,124.70, 4,687.32 and 933.20 is: 1,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.70 : 4,687.32 = 933.20 : x
  2. Step 2: Convert to fraction form
    3,124.70/4,687.32 = 933.20/x
  3. Step 3: Cross multiply
    3,124.70x = 4,687.32 × 933.20
  4. Step 4: Simplify right side
    3,124.70x = 4,374,207.02
  5. Step 5: Solve for x
    x = 4,374,207.02/3,124.70
  6. Step 6: Final answer
    x = 1,399.88

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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.