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Finding the Fourth Proportional to 8,410.57, 12,615.85 and 2,864.50

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Solution

The fourth proportional to 8,410.57, 12,615.85 and 2,864.50 is: 4,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.57 : 12,615.85 = 2,864.50 : x
  2. Step 2: Convert to fraction form
    8,410.57/12,615.85 = 2,864.50/x
  3. Step 3: Cross multiply
    8,410.57x = 12,615.85 × 2,864.50
  4. Step 4: Simplify right side
    8,410.57x = 36,138,102.33
  5. Step 5: Solve for x
    x = 36,138,102.33/8,410.57
  6. Step 6: Final answer
    x = 4,296.75

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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.