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Finding the Fourth Proportional to 13,187.47, 19,785.78 and 7,645.63

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Solution

The fourth proportional to 13,187.47, 19,785.78 and 7,645.63 is: 11,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.47 : 19,785.78 = 7,645.63 : x
  2. Step 2: Convert to fraction form
    13,187.47/19,785.78 = 7,645.63/x
  3. Step 3: Cross multiply
    13,187.47x = 19,785.78 × 7,645.63
  4. Step 4: Simplify right side
    13,187.47x = 151,274,753.14
  5. Step 5: Solve for x
    x = 151,274,753.14/13,187.47
  6. Step 6: Final answer
    x = 11,471.10

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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.