Home / 5,098.32-7,645.86-1,978.11

Finding the Fourth Proportional to 5,098.32, 7,645.86 and 1,978.11

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Solution

The fourth proportional to 5,098.32, 7,645.86 and 1,978.11 is: 2,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.32 : 7,645.86 = 1,978.11 : x
  2. Step 2: Convert to fraction form
    5,098.32/7,645.86 = 1,978.11/x
  3. Step 3: Cross multiply
    5,098.32x = 7,645.86 × 1,978.11
  4. Step 4: Simplify right side
    5,098.32x = 15,124,352.12
  5. Step 5: Solve for x
    x = 15,124,352.12/5,098.32
  6. Step 6: Final answer
    x = 2,966.54

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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.