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Finding the Fourth Proportional to 11,436, 15,783.84 and 6,722.88

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Solution

The fourth proportional to 11,436, 15,783.84 and 6,722.88 is: 9,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436 : 15,783.84 = 6,722.88 : x
  2. Step 2: Convert to fraction form
    11,436/15,783.84 = 6,722.88/x
  3. Step 3: Cross multiply
    11,436x = 15,783.84 × 6,722.88
  4. Step 4: Simplify right side
    11,436x = 106,112,862.26
  5. Step 5: Solve for x
    x = 106,112,862.26/11,436
  6. Step 6: Final answer
    x = 9,278.84

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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.