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Finding the Fourth Proportional to 8,612.74, 11,882.10 and 5,420.40

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Solution

The fourth proportional to 8,612.74, 11,882.10 and 5,420.40 is: 7,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.74 : 11,882.10 = 5,420.40 : x
  2. Step 2: Convert to fraction form
    8,612.74/11,882.10 = 5,420.40/x
  3. Step 3: Cross multiply
    8,612.74x = 11,882.10 × 5,420.40
  4. Step 4: Simplify right side
    8,612.74x = 64,405,734.84
  5. Step 5: Solve for x
    x = 64,405,734.84/8,612.74
  6. Step 6: Final answer
    x = 7,477.96

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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.