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Finding the Fourth Proportional to 1,557.38, 2,149.17 and 858.76

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Solution

The fourth proportional to 1,557.38, 2,149.17 and 858.76 is: 1,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.38 : 2,149.17 = 858.76 : x
  2. Step 2: Convert to fraction form
    1,557.38/2,149.17 = 858.76/x
  3. Step 3: Cross multiply
    1,557.38x = 2,149.17 × 858.76
  4. Step 4: Simplify right side
    1,557.38x = 1,845,619.08
  5. Step 5: Solve for x
    x = 1,845,619.08/1,557.38
  6. Step 6: Final answer
    x = 1,185.08

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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.