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Finding the Fourth Proportional to 14,685.49, 20,266.00 and 7,971.12

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Solution

The fourth proportional to 14,685.49, 20,266.00 and 7,971.12 is: 11,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.49 : 20,266.00 = 7,971.12 : x
  2. Step 2: Convert to fraction form
    14,685.49/20,266.00 = 7,971.12/x
  3. Step 3: Cross multiply
    14,685.49x = 20,266.00 × 7,971.12
  4. Step 4: Simplify right side
    14,685.49x = 161,542,780.83
  5. Step 5: Solve for x
    x = 161,542,780.83/14,685.49
  6. Step 6: Final answer
    x = 11,000.16

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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.