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Finding the Fourth Proportional to 19,585.20, 27,021 and 12,515.76

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Solution

The fourth proportional to 19,585.20, 27,021 and 12,515.76 is: 17,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.20 : 27,021 = 12,515.76 : x
  2. Step 2: Convert to fraction form
    19,585.20/27,021 = 12,515.76/x
  3. Step 3: Cross multiply
    19,585.20x = 27,021 × 12,515.76
  4. Step 4: Simplify right side
    19,585.20x = 338,188,350.96
  5. Step 5: Solve for x
    x = 338,188,350.96/19,585.20
  6. Step 6: Final answer
    x = 17,267.55

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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.