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Finding the Fourth Proportional to 1,560.34, 2,153.10 and 861.58

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Solution

The fourth proportional to 1,560.34, 2,153.10 and 861.58 is: 1,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.34 : 2,153.10 = 861.58 : x
  2. Step 2: Convert to fraction form
    1,560.34/2,153.10 = 861.58/x
  3. Step 3: Cross multiply
    1,560.34x = 2,153.10 × 861.58
  4. Step 4: Simplify right side
    1,560.34x = 1,855,067.90
  5. Step 5: Solve for x
    x = 1,855,067.90/1,560.34
  6. Step 6: Final answer
    x = 1,188.89

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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.