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Finding the Fourth Proportional to 6,987.52, 9,643.49 and 4,003.75

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Solution

The fourth proportional to 6,987.52, 9,643.49 and 4,003.75 is: 5,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.52 : 9,643.49 = 4,003.75 : x
  2. Step 2: Convert to fraction form
    6,987.52/9,643.49 = 4,003.75/x
  3. Step 3: Cross multiply
    6,987.52x = 9,643.49 × 4,003.75
  4. Step 4: Simplify right side
    6,987.52x = 38,610,123.09
  5. Step 5: Solve for x
    x = 38,610,123.09/6,987.52
  6. Step 6: Final answer
    x = 5,525.58

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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.