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Finding the Fourth Proportional to 13,840.80, 20,738.40 and 7,987.20

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Solution

The fourth proportional to 13,840.80, 20,738.40 and 7,987.20 is: 11,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.80 : 20,738.40 = 7,987.20 : x
  2. Step 2: Convert to fraction form
    13,840.80/20,738.40 = 7,987.20/x
  3. Step 3: Cross multiply
    13,840.80x = 20,738.40 × 7,987.20
  4. Step 4: Simplify right side
    13,840.80x = 165,641,748.48
  5. Step 5: Solve for x
    x = 165,641,748.48/13,840.80
  6. Step 6: Final answer
    x = 11,967.64

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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.