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Finding the Fourth Proportional to 3,610.68, 4,978.80 and 2,492.16

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Solution

The fourth proportional to 3,610.68, 4,978.80 and 2,492.16 is: 3,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.68 : 4,978.80 = 2,492.16 : x
  2. Step 2: Convert to fraction form
    3,610.68/4,978.80 = 2,492.16/x
  3. Step 3: Cross multiply
    3,610.68x = 4,978.80 × 2,492.16
  4. Step 4: Simplify right side
    3,610.68x = 12,407,966.21
  5. Step 5: Solve for x
    x = 12,407,966.21/3,610.68
  6. Step 6: Final answer
    x = 3,436.46

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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.