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Finding the Fourth Proportional to 13,888.84, 20,823.21 and 8,253.15

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Solution

The fourth proportional to 13,888.84, 20,823.21 and 8,253.15 is: 12,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.84 : 20,823.21 = 8,253.15 : x
  2. Step 2: Convert to fraction form
    13,888.84/20,823.21 = 8,253.15/x
  3. Step 3: Cross multiply
    13,888.84x = 20,823.21 × 8,253.15
  4. Step 4: Simplify right side
    13,888.84x = 171,857,178.76
  5. Step 5: Solve for x
    x = 171,857,178.76/13,888.84
  6. Step 6: Final answer
    x = 12,373.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.