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Finding the Fourth Proportional to 3,988.16, 5,982.25 and 1,066.47

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Solution

The fourth proportional to 3,988.16, 5,982.25 and 1,066.47 is: 1,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.16 : 5,982.25 = 1,066.47 : x
  2. Step 2: Convert to fraction form
    3,988.16/5,982.25 = 1,066.47/x
  3. Step 3: Cross multiply
    3,988.16x = 5,982.25 × 1,066.47
  4. Step 4: Simplify right side
    3,988.16x = 6,379,867.06
  5. Step 5: Solve for x
    x = 6,379,867.06/3,988.16
  6. Step 6: Final answer
    x = 1,599.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.