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Finding the Fourth Proportional to 14,871.84, 20,522 and 8,580

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Solution

The fourth proportional to 14,871.84, 20,522 and 8,580 is: 11,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.84 : 20,522 = 8,580 : x
  2. Step 2: Convert to fraction form
    14,871.84/20,522 = 8,580/x
  3. Step 3: Cross multiply
    14,871.84x = 20,522 × 8,580
  4. Step 4: Simplify right side
    14,871.84x = 176,078,760
  5. Step 5: Solve for x
    x = 176,078,760/14,871.84
  6. Step 6: Final answer
    x = 11,839.74

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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.