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Finding the Fourth Proportional to 12,650.40, 18,965.70 and 7,719.12

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Solution

The fourth proportional to 12,650.40, 18,965.70 and 7,719.12 is: 11,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.40 : 18,965.70 = 7,719.12 : x
  2. Step 2: Convert to fraction form
    12,650.40/18,965.70 = 7,719.12/x
  3. Step 3: Cross multiply
    12,650.40x = 18,965.70 × 7,719.12
  4. Step 4: Simplify right side
    12,650.40x = 146,398,514.18
  5. Step 5: Solve for x
    x = 146,398,514.18/12,650.40
  6. Step 6: Final answer
    x = 11,572.64

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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.