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Finding the Fourth Proportional to 5,981.64, 8,972.46 and 1,877.64

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Solution

The fourth proportional to 5,981.64, 8,972.46 and 1,877.64 is: 2,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.64 : 8,972.46 = 1,877.64 : x
  2. Step 2: Convert to fraction form
    5,981.64/8,972.46 = 1,877.64/x
  3. Step 3: Cross multiply
    5,981.64x = 8,972.46 × 1,877.64
  4. Step 4: Simplify right side
    5,981.64x = 16,847,049.79
  5. Step 5: Solve for x
    x = 16,847,049.79/5,981.64
  6. Step 6: Final answer
    x = 2,816.46

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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.