Home / 5,098.32-7,645.84-1,978.08

Finding the Fourth Proportional to 5,098.32, 7,645.84 and 1,978.08

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Solution

The fourth proportional to 5,098.32, 7,645.84 and 1,978.08 is: 2,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.32 : 7,645.84 = 1,978.08 : x
  2. Step 2: Convert to fraction form
    5,098.32/7,645.84 = 1,978.08/x
  3. Step 3: Cross multiply
    5,098.32x = 7,645.84 × 1,978.08
  4. Step 4: Simplify right side
    5,098.32x = 15,124,083.19
  5. Step 5: Solve for x
    x = 15,124,083.19/5,098.32
  6. Step 6: Final answer
    x = 2,966.48

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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.