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Finding the Fourth Proportional to 1,989.56, 2,964.35 and 1,877.78

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Solution

The fourth proportional to 1,989.56, 2,964.35 and 1,877.78 is: 2,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.56 : 2,964.35 = 1,877.78 : x
  2. Step 2: Convert to fraction form
    1,989.56/2,964.35 = 1,877.78/x
  3. Step 3: Cross multiply
    1,989.56x = 2,964.35 × 1,877.78
  4. Step 4: Simplify right side
    1,989.56x = 5,566,397.14
  5. Step 5: Solve for x
    x = 5,566,397.14/1,989.56
  6. Step 6: Final answer
    x = 2,797.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.