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Finding the Fourth Proportional to 12,277.92, 16,943.76 and 7,312.80

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Solution

The fourth proportional to 12,277.92, 16,943.76 and 7,312.80 is: 10,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.92 : 16,943.76 = 7,312.80 : x
  2. Step 2: Convert to fraction form
    12,277.92/16,943.76 = 7,312.80/x
  3. Step 3: Cross multiply
    12,277.92x = 16,943.76 × 7,312.80
  4. Step 4: Simplify right side
    12,277.92x = 123,906,328.13
  5. Step 5: Solve for x
    x = 123,906,328.13/12,277.92
  6. Step 6: Final answer
    x = 10,091.80

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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.