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Finding the Fourth Proportional to 2,774.64, 4,159.10 and 1,476.20

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Solution

The fourth proportional to 2,774.64, 4,159.10 and 1,476.20 is: 2,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.64 : 4,159.10 = 1,476.20 : x
  2. Step 2: Convert to fraction form
    2,774.64/4,159.10 = 1,476.20/x
  3. Step 3: Cross multiply
    2,774.64x = 4,159.10 × 1,476.20
  4. Step 4: Simplify right side
    2,774.64x = 6,139,663.42
  5. Step 5: Solve for x
    x = 6,139,663.42/2,774.64
  6. Step 6: Final answer
    x = 2,212.78

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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.