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Finding the Fourth Proportional to 3,988.56, 5,983.14 and 1,215.47

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Solution

The fourth proportional to 3,988.56, 5,983.14 and 1,215.47 is: 1,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.56 : 5,983.14 = 1,215.47 : x
  2. Step 2: Convert to fraction form
    3,988.56/5,983.14 = 1,215.47/x
  3. Step 3: Cross multiply
    3,988.56x = 5,983.14 × 1,215.47
  4. Step 4: Simplify right side
    3,988.56x = 7,272,291.18
  5. Step 5: Solve for x
    x = 7,272,291.18/3,988.56
  6. Step 6: Final answer
    x = 1,823.29

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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.