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Finding the Fourth Proportional to 19,585.92, 27,018.88 and 12,419.20

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Solution

The fourth proportional to 19,585.92, 27,018.88 and 12,419.20 is: 17,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.92 : 27,018.88 = 12,419.20 : x
  2. Step 2: Convert to fraction form
    19,585.92/27,018.88 = 12,419.20/x
  3. Step 3: Cross multiply
    19,585.92x = 27,018.88 × 12,419.20
  4. Step 4: Simplify right side
    19,585.92x = 335,552,874.50
  5. Step 5: Solve for x
    x = 335,552,874.50/19,585.92
  6. Step 6: Final answer
    x = 17,132.35

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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.