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Finding the Fourth Proportional to 14,701.23, 20,287.80 and 7,986.87

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Solution

The fourth proportional to 14,701.23, 20,287.80 and 7,986.87 is: 11,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.23 : 20,287.80 = 7,986.87 : x
  2. Step 2: Convert to fraction form
    14,701.23/20,287.80 = 7,986.87/x
  3. Step 3: Cross multiply
    14,701.23x = 20,287.80 × 7,986.87
  4. Step 4: Simplify right side
    14,701.23x = 162,036,021.19
  5. Step 5: Solve for x
    x = 162,036,021.19/14,701.23
  6. Step 6: Final answer
    x = 11,021.94

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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.