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Finding the Fourth Proportional to 3,097.80, 4,645.15 and 989.15

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Solution

The fourth proportional to 3,097.80, 4,645.15 and 989.15 is: 1,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.80 : 4,645.15 = 989.15 : x
  2. Step 2: Convert to fraction form
    3,097.80/4,645.15 = 989.15/x
  3. Step 3: Cross multiply
    3,097.80x = 4,645.15 × 989.15
  4. Step 4: Simplify right side
    3,097.80x = 4,594,753.95
  5. Step 5: Solve for x
    x = 4,594,753.95/3,097.80
  6. Step 6: Final answer
    x = 1,483.23

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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.