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Finding the Fourth Proportional to 12,077.92, 16,669.92 and 7,834.24

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Solution

The fourth proportional to 12,077.92, 16,669.92 and 7,834.24 is: 10,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.92 : 16,669.92 = 7,834.24 : x
  2. Step 2: Convert to fraction form
    12,077.92/16,669.92 = 7,834.24/x
  3. Step 3: Cross multiply
    12,077.92x = 16,669.92 × 7,834.24
  4. Step 4: Simplify right side
    12,077.92x = 130,596,154.06
  5. Step 5: Solve for x
    x = 130,596,154.06/12,077.92
  6. Step 6: Final answer
    x = 10,812.80

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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.