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Finding the Fourth Proportional to 14,871.95, 20,516.22 and 8,902.48

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Solution

The fourth proportional to 14,871.95, 20,516.22 and 8,902.48 is: 12,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.95 : 20,516.22 = 8,902.48 : x
  2. Step 2: Convert to fraction form
    14,871.95/20,516.22 = 8,902.48/x
  3. Step 3: Cross multiply
    14,871.95x = 20,516.22 × 8,902.48
  4. Step 4: Simplify right side
    14,871.95x = 182,645,186.94
  5. Step 5: Solve for x
    x = 182,645,186.94/14,871.95
  6. Step 6: Final answer
    x = 12,281.18

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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.