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Finding the Fourth Proportional to 7,886.76, 11,838.35 and 5,809.11

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Solution

The fourth proportional to 7,886.76, 11,838.35 and 5,809.11 is: 8,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.76 : 11,838.35 = 5,809.11 : x
  2. Step 2: Convert to fraction form
    7,886.76/11,838.35 = 5,809.11/x
  3. Step 3: Cross multiply
    7,886.76x = 11,838.35 × 5,809.11
  4. Step 4: Simplify right side
    7,886.76x = 68,770,248.32
  5. Step 5: Solve for x
    x = 68,770,248.32/7,886.76
  6. Step 6: Final answer
    x = 8,719.71

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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.