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Finding the Fourth Proportional to 6,987.56, 9,642.75 and 5,203.02

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Solution

The fourth proportional to 6,987.56, 9,642.75 and 5,203.02 is: 7,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.56 : 9,642.75 = 5,203.02 : x
  2. Step 2: Convert to fraction form
    6,987.56/9,642.75 = 5,203.02/x
  3. Step 3: Cross multiply
    6,987.56x = 9,642.75 × 5,203.02
  4. Step 4: Simplify right side
    6,987.56x = 50,171,436.78
  5. Step 5: Solve for x
    x = 50,171,436.78/6,987.56
  6. Step 6: Final answer
    x = 7,180.11

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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.