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Finding the Fourth Proportional to 2,357.78, 3,255.80 and 1,475.08

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Solution

The fourth proportional to 2,357.78, 3,255.80 and 1,475.08 is: 2,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.78 : 3,255.80 = 1,475.08 : x
  2. Step 2: Convert to fraction form
    2,357.78/3,255.80 = 1,475.08/x
  3. Step 3: Cross multiply
    2,357.78x = 3,255.80 × 1,475.08
  4. Step 4: Simplify right side
    2,357.78x = 4,802,549.95
  5. Step 5: Solve for x
    x = 4,802,549.95/2,357.78
  6. Step 6: Final answer
    x = 2,036.90

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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.