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Finding the Fourth Proportional to 8,412.96, 12,603.96 and 7,097.16

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Solution

The fourth proportional to 8,412.96, 12,603.96 and 7,097.16 is: 10,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.96 : 12,603.96 = 7,097.16 : x
  2. Step 2: Convert to fraction form
    8,412.96/12,603.96 = 7,097.16/x
  3. Step 3: Cross multiply
    8,412.96x = 12,603.96 × 7,097.16
  4. Step 4: Simplify right side
    8,412.96x = 89,452,320.75
  5. Step 5: Solve for x
    x = 89,452,320.75/8,412.96
  6. Step 6: Final answer
    x = 10,632.68

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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.