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Finding the Fourth Proportional to 3,602.88, 4,978.74 and 2,717.10

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Solution

The fourth proportional to 3,602.88, 4,978.74 and 2,717.10 is: 3,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.88 : 4,978.74 = 2,717.10 : x
  2. Step 2: Convert to fraction form
    3,602.88/4,978.74 = 2,717.10/x
  3. Step 3: Cross multiply
    3,602.88x = 4,978.74 × 2,717.10
  4. Step 4: Simplify right side
    3,602.88x = 13,527,734.45
  5. Step 5: Solve for x
    x = 13,527,734.45/3,602.88
  6. Step 6: Final answer
    x = 3,754.70

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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.