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Finding the Fourth Proportional to 5,986.20, 8,987.25 and 5,114.30

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Solution

The fourth proportional to 5,986.20, 8,987.25 and 5,114.30 is: 7,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.20 : 8,987.25 = 5,114.30 : x
  2. Step 2: Convert to fraction form
    5,986.20/8,987.25 = 5,114.30/x
  3. Step 3: Cross multiply
    5,986.20x = 8,987.25 × 5,114.30
  4. Step 4: Simplify right side
    5,986.20x = 45,963,447.74
  5. Step 5: Solve for x
    x = 45,963,447.74/5,986.20
  6. Step 6: Final answer
    x = 7,678.23

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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.