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Finding the Fourth Proportional to 6,987.69, 9,642.99 and 4,003.53

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Solution

The fourth proportional to 6,987.69, 9,642.99 and 4,003.53 is: 5,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.69 : 9,642.99 = 4,003.53 : x
  2. Step 2: Convert to fraction form
    6,987.69/9,642.99 = 4,003.53/x
  3. Step 3: Cross multiply
    6,987.69x = 9,642.99 × 4,003.53
  4. Step 4: Simplify right side
    6,987.69x = 38,605,999.75
  5. Step 5: Solve for x
    x = 38,605,999.75/6,987.69
  6. Step 6: Final answer
    x = 5,524.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.