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Finding the Fourth Proportional to 10,097.92, 15,128.96 and 8,622.16

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Solution

The fourth proportional to 10,097.92, 15,128.96 and 8,622.16 is: 12,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.92 : 15,128.96 = 8,622.16 : x
  2. Step 2: Convert to fraction form
    10,097.92/15,128.96 = 8,622.16/x
  3. Step 3: Cross multiply
    10,097.92x = 15,128.96 × 8,622.16
  4. Step 4: Simplify right side
    10,097.92x = 130,444,313.75
  5. Step 5: Solve for x
    x = 130,444,313.75/10,097.92
  6. Step 6: Final answer
    x = 12,917.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.