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Finding the Fourth Proportional to 3,987.41, 5,981.45 and 1,214.11

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Solution

The fourth proportional to 3,987.41, 5,981.45 and 1,214.11 is: 1,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.41 : 5,981.45 = 1,214.11 : x
  2. Step 2: Convert to fraction form
    3,987.41/5,981.45 = 1,214.11/x
  3. Step 3: Cross multiply
    3,987.41x = 5,981.45 × 1,214.11
  4. Step 4: Simplify right side
    3,987.41x = 7,262,106.02
  5. Step 5: Solve for x
    x = 7,262,106.02/3,987.41
  6. Step 6: Final answer
    x = 1,821.26

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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.