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Finding the Fourth Proportional to 5,877.62, 8,816.46 and 1,982.06

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Solution

The fourth proportional to 5,877.62, 8,816.46 and 1,982.06 is: 2,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.62 : 8,816.46 = 1,982.06 : x
  2. Step 2: Convert to fraction form
    5,877.62/8,816.46 = 1,982.06/x
  3. Step 3: Cross multiply
    5,877.62x = 8,816.46 × 1,982.06
  4. Step 4: Simplify right side
    5,877.62x = 17,474,752.71
  5. Step 5: Solve for x
    x = 17,474,752.71/5,877.62
  6. Step 6: Final answer
    x = 2,973.10

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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.