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Finding the Fourth Proportional to 1,561.12, 2,154.80 and 963.84

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Solution

The fourth proportional to 1,561.12, 2,154.80 and 963.84 is: 1,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.12 : 2,154.80 = 963.84 : x
  2. Step 2: Convert to fraction form
    1,561.12/2,154.80 = 963.84/x
  3. Step 3: Cross multiply
    1,561.12x = 2,154.80 × 963.84
  4. Step 4: Simplify right side
    1,561.12x = 2,076,882.43
  5. Step 5: Solve for x
    x = 2,076,882.43/1,561.12
  6. Step 6: Final answer
    x = 1,330.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.