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Finding the Fourth Proportional to 12,904.76, 17,806.42 and 7,600.63

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Solution

The fourth proportional to 12,904.76, 17,806.42 and 7,600.63 is: 10,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.76 : 17,806.42 = 7,600.63 : x
  2. Step 2: Convert to fraction form
    12,904.76/17,806.42 = 7,600.63/x
  3. Step 3: Cross multiply
    12,904.76x = 17,806.42 × 7,600.63
  4. Step 4: Simplify right side
    12,904.76x = 135,339,972.04
  5. Step 5: Solve for x
    x = 135,339,972.04/12,904.76
  6. Step 6: Final answer
    x = 10,487.60

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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.