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Finding the Fourth Proportional to 12,294.92, 16,946.32 and 9,936.20

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Solution

The fourth proportional to 12,294.92, 16,946.32 and 9,936.20 is: 13,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.92 : 16,946.32 = 9,936.20 : x
  2. Step 2: Convert to fraction form
    12,294.92/16,946.32 = 9,936.20/x
  3. Step 3: Cross multiply
    12,294.92x = 16,946.32 × 9,936.20
  4. Step 4: Simplify right side
    12,294.92x = 168,382,024.78
  5. Step 5: Solve for x
    x = 168,382,024.78/12,294.92
  6. Step 6: Final answer
    x = 13,695.25

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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.