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Finding the Fourth Proportional to 6,987.67, 9,642.88 and 3,800.89

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Solution

The fourth proportional to 6,987.67, 9,642.88 and 3,800.89 is: 5,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.67 : 9,642.88 = 3,800.89 : x
  2. Step 2: Convert to fraction form
    6,987.67/9,642.88 = 3,800.89/x
  3. Step 3: Cross multiply
    6,987.67x = 9,642.88 × 3,800.89
  4. Step 4: Simplify right side
    6,987.67x = 36,651,526.16
  5. Step 5: Solve for x
    x = 36,651,526.16/6,987.67
  6. Step 6: Final answer
    x = 5,245.17

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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.