Home / 1,557.54-2,337.00-827.18

Finding the Fourth Proportional to 1,557.54, 2,337.00 and 827.18

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Solution

The fourth proportional to 1,557.54, 2,337.00 and 827.18 is: 1,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.54 : 2,337.00 = 827.18 : x
  2. Step 2: Convert to fraction form
    1,557.54/2,337.00 = 827.18/x
  3. Step 3: Cross multiply
    1,557.54x = 2,337.00 × 827.18
  4. Step 4: Simplify right side
    1,557.54x = 1,933,113.64
  5. Step 5: Solve for x
    x = 1,933,113.64/1,557.54
  6. Step 6: Final answer
    x = 1,241.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.