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Finding the Fourth Proportional to 6,987.13, 9,583.17 and 6,199.81

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Solution

The fourth proportional to 6,987.13, 9,583.17 and 6,199.81 is: 8,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.13 : 9,583.17 = 6,199.81 : x
  2. Step 2: Convert to fraction form
    6,987.13/9,583.17 = 6,199.81/x
  3. Step 3: Cross multiply
    6,987.13x = 9,583.17 × 6,199.81
  4. Step 4: Simplify right side
    6,987.13x = 59,413,833.20
  5. Step 5: Solve for x
    x = 59,413,833.20/6,987.13
  6. Step 6: Final answer
    x = 8,503.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.