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Finding the Fourth Proportional to 14,771.84, 20,387.31 and 8,807

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Solution

The fourth proportional to 14,771.84, 20,387.31 and 8,807 is: 12,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.84 : 20,387.31 = 8,807 : x
  2. Step 2: Convert to fraction form
    14,771.84/20,387.31 = 8,807/x
  3. Step 3: Cross multiply
    14,771.84x = 20,387.31 × 8,807
  4. Step 4: Simplify right side
    14,771.84x = 179,551,039.17
  5. Step 5: Solve for x
    x = 179,551,039.17/14,771.84
  6. Step 6: Final answer
    x = 12,154.95

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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.