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Finding the Fourth Proportional to 14,701.95, 20,288.34 and 7,987.43

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Solution

The fourth proportional to 14,701.95, 20,288.34 and 7,987.43 is: 11,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.95 : 20,288.34 = 7,987.43 : x
  2. Step 2: Convert to fraction form
    14,701.95/20,288.34 = 7,987.43/x
  3. Step 3: Cross multiply
    14,701.95x = 20,288.34 × 7,987.43
  4. Step 4: Simplify right side
    14,701.95x = 162,051,594.12
  5. Step 5: Solve for x
    x = 162,051,594.12/14,701.95
  6. Step 6: Final answer
    x = 11,022.46

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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.