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Finding the Fourth Proportional to 7,858.76, 11,767.95 and 4,152.74

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Solution

The fourth proportional to 7,858.76, 11,767.95 and 4,152.74 is: 6,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.76 : 11,767.95 = 4,152.74 : x
  2. Step 2: Convert to fraction form
    7,858.76/11,767.95 = 4,152.74/x
  3. Step 3: Cross multiply
    7,858.76x = 11,767.95 × 4,152.74
  4. Step 4: Simplify right side
    7,858.76x = 48,869,177.84
  5. Step 5: Solve for x
    x = 48,869,177.84/7,858.76
  6. Step 6: Final answer
    x = 6,218.44

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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.