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Finding the Fourth Proportional to 1,475.64, 2,036.36 and 812.47

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Solution

The fourth proportional to 1,475.64, 2,036.36 and 812.47 is: 1,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.64 : 2,036.36 = 812.47 : x
  2. Step 2: Convert to fraction form
    1,475.64/2,036.36 = 812.47/x
  3. Step 3: Cross multiply
    1,475.64x = 2,036.36 × 812.47
  4. Step 4: Simplify right side
    1,475.64x = 1,654,481.41
  5. Step 5: Solve for x
    x = 1,654,481.41/1,475.64
  6. Step 6: Final answer
    x = 1,121.20

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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.