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Finding the Fourth Proportional to 12,876.24, 17,768.52 and 7,497.84

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Solution

The fourth proportional to 12,876.24, 17,768.52 and 7,497.84 is: 10,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.24 : 17,768.52 = 7,497.84 : x
  2. Step 2: Convert to fraction form
    12,876.24/17,768.52 = 7,497.84/x
  3. Step 3: Cross multiply
    12,876.24x = 17,768.52 × 7,497.84
  4. Step 4: Simplify right side
    12,876.24x = 133,225,520.00
  5. Step 5: Solve for x
    x = 133,225,520.00/12,876.24
  6. Step 6: Final answer
    x = 10,346.62

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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.