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Finding the Fourth Proportional to 8,615.33, 12,864.63 and 6,840.42

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Solution

The fourth proportional to 8,615.33, 12,864.63 and 6,840.42 is: 10,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.33 : 12,864.63 = 6,840.42 : x
  2. Step 2: Convert to fraction form
    8,615.33/12,864.63 = 6,840.42/x
  3. Step 3: Cross multiply
    8,615.33x = 12,864.63 × 6,840.42
  4. Step 4: Simplify right side
    8,615.33x = 87,999,449.75
  5. Step 5: Solve for x
    x = 87,999,449.75/8,615.33
  6. Step 6: Final answer
    x = 10,214.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.