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Finding the Fourth Proportional to 8,983.28, 12,370.16 and 8,784.14

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Solution

The fourth proportional to 8,983.28, 12,370.16 and 8,784.14 is: 12,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.28 : 12,370.16 = 8,784.14 : x
  2. Step 2: Convert to fraction form
    8,983.28/12,370.16 = 8,784.14/x
  3. Step 3: Cross multiply
    8,983.28x = 12,370.16 × 8,784.14
  4. Step 4: Simplify right side
    8,983.28x = 108,661,177.37
  5. Step 5: Solve for x
    x = 108,661,177.37/8,983.28
  6. Step 6: Final answer
    x = 12,095.93

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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.