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Finding the Fourth Proportional to 12,840.35, 17,719.65 and 7,251.35

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Solution

The fourth proportional to 12,840.35, 17,719.65 and 7,251.35 is: 10,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.35 : 17,719.65 = 7,251.35 : x
  2. Step 2: Convert to fraction form
    12,840.35/17,719.65 = 7,251.35/x
  3. Step 3: Cross multiply
    12,840.35x = 17,719.65 × 7,251.35
  4. Step 4: Simplify right side
    12,840.35x = 128,491,295.43
  5. Step 5: Solve for x
    x = 128,491,295.43/12,840.35
  6. Step 6: Final answer
    x = 10,006.84

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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.