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Finding the Fourth Proportional to 2,713.78, 4,071.20 and 1,153.77

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Solution

The fourth proportional to 2,713.78, 4,071.20 and 1,153.77 is: 1,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.78 : 4,071.20 = 1,153.77 : x
  2. Step 2: Convert to fraction form
    2,713.78/4,071.20 = 1,153.77/x
  3. Step 3: Cross multiply
    2,713.78x = 4,071.20 × 1,153.77
  4. Step 4: Simplify right side
    2,713.78x = 4,697,228.42
  5. Step 5: Solve for x
    x = 4,697,228.42/2,713.78
  6. Step 6: Final answer
    x = 1,730.88

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1.5x scale

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.