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Finding the Fourth Proportional to 3,987.23, 5,981.09 and 1,214.10

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Solution

The fourth proportional to 3,987.23, 5,981.09 and 1,214.10 is: 1,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.23 : 5,981.09 = 1,214.10 : x
  2. Step 2: Convert to fraction form
    3,987.23/5,981.09 = 1,214.10/x
  3. Step 3: Cross multiply
    3,987.23x = 5,981.09 × 1,214.10
  4. Step 4: Simplify right side
    3,987.23x = 7,261,635.30
  5. Step 5: Solve for x
    x = 7,261,635.30/3,987.23
  6. Step 6: Final answer
    x = 1,821.23

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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.