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Finding the Fourth Proportional to 14,754, 20,359.08 and 8,784.48

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Solution

The fourth proportional to 14,754, 20,359.08 and 8,784.48 is: 12,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754 : 20,359.08 = 8,784.48 : x
  2. Step 2: Convert to fraction form
    14,754/20,359.08 = 8,784.48/x
  3. Step 3: Cross multiply
    14,754x = 20,359.08 × 8,784.48
  4. Step 4: Simplify right side
    14,754x = 178,843,931.08
  5. Step 5: Solve for x
    x = 178,843,931.08/14,754
  6. Step 6: Final answer
    x = 12,121.73

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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.