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Finding the Fourth Proportional to 2,375.12, 3,560.77 and 989.51

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Solution

The fourth proportional to 2,375.12, 3,560.77 and 989.51 is: 1,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.12 : 3,560.77 = 989.51 : x
  2. Step 2: Convert to fraction form
    2,375.12/3,560.77 = 989.51/x
  3. Step 3: Cross multiply
    2,375.12x = 3,560.77 × 989.51
  4. Step 4: Simplify right side
    2,375.12x = 3,523,397.25
  5. Step 5: Solve for x
    x = 3,523,397.25/2,375.12
  6. Step 6: Final answer
    x = 1,483.46

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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.