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Finding the Fourth Proportional to 4,987, 7,480.80 and 1,524.28

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Solution

The fourth proportional to 4,987, 7,480.80 and 1,524.28 is: 2,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987 : 7,480.80 = 1,524.28 : x
  2. Step 2: Convert to fraction form
    4,987/7,480.80 = 1,524.28/x
  3. Step 3: Cross multiply
    4,987x = 7,480.80 × 1,524.28
  4. Step 4: Simplify right side
    4,987x = 11,402,833.82
  5. Step 5: Solve for x
    x = 11,402,833.82/4,987
  6. Step 6: Final answer
    x = 2,286.51

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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.