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Finding the Fourth Proportional to 12,942.28, 17,860.74 and 7,641.64

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Solution

The fourth proportional to 12,942.28, 17,860.74 and 7,641.64 is: 10,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.28 : 17,860.74 = 7,641.64 : x
  2. Step 2: Convert to fraction form
    12,942.28/17,860.74 = 7,641.64/x
  3. Step 3: Cross multiply
    12,942.28x = 17,860.74 × 7,641.64
  4. Step 4: Simplify right side
    12,942.28x = 136,485,345.21
  5. Step 5: Solve for x
    x = 136,485,345.21/12,942.28
  6. Step 6: Final answer
    x = 10,545.70

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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.