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Finding the Fourth Proportional to 2,291.64, 3,162.28 and 1,347.47

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Solution

The fourth proportional to 2,291.64, 3,162.28 and 1,347.47 is: 1,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.64 : 3,162.28 = 1,347.47 : x
  2. Step 2: Convert to fraction form
    2,291.64/3,162.28 = 1,347.47/x
  3. Step 3: Cross multiply
    2,291.64x = 3,162.28 × 1,347.47
  4. Step 4: Simplify right side
    2,291.64x = 4,261,061.62
  5. Step 5: Solve for x
    x = 4,261,061.62/2,291.64
  6. Step 6: Final answer
    x = 1,859.40

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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.