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Finding the Fourth Proportional to 11,423.84, 15,765.84 and 6,388.47

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Solution

The fourth proportional to 11,423.84, 15,765.84 and 6,388.47 is: 8,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.84 : 15,765.84 = 6,388.47 : x
  2. Step 2: Convert to fraction form
    11,423.84/15,765.84 = 6,388.47/x
  3. Step 3: Cross multiply
    11,423.84x = 15,765.84 × 6,388.47
  4. Step 4: Simplify right side
    11,423.84x = 100,719,595.86
  5. Step 5: Solve for x
    x = 100,719,595.86/11,423.84
  6. Step 6: Final answer
    x = 8,816.62

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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.