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Finding the Fourth Proportional to 1,560.57, 2,153.58 and 861.95

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Solution

The fourth proportional to 1,560.57, 2,153.58 and 861.95 is: 1,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.57 : 2,153.58 = 861.95 : x
  2. Step 2: Convert to fraction form
    1,560.57/2,153.58 = 861.95/x
  3. Step 3: Cross multiply
    1,560.57x = 2,153.58 × 861.95
  4. Step 4: Simplify right side
    1,560.57x = 1,856,278.28
  5. Step 5: Solve for x
    x = 1,856,278.28/1,560.57
  6. Step 6: Final answer
    x = 1,189.49

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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.