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Finding the Fourth Proportional to 14,686.90, 20,268.08 and 7,972.59

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Solution

The fourth proportional to 14,686.90, 20,268.08 and 7,972.59 is: 11,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.90 : 20,268.08 = 7,972.59 : x
  2. Step 2: Convert to fraction form
    14,686.90/20,268.08 = 7,972.59/x
  3. Step 3: Cross multiply
    14,686.90x = 20,268.08 × 7,972.59
  4. Step 4: Simplify right side
    14,686.90x = 161,589,091.93
  5. Step 5: Solve for x
    x = 161,589,091.93/14,686.90
  6. Step 6: Final answer
    x = 11,002.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.