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Finding the Fourth Proportional to 19,887.50, 27,443.44 and 10,934.16

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Solution

The fourth proportional to 19,887.50, 27,443.44 and 10,934.16 is: 15,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.50 : 27,443.44 = 10,934.16 : x
  2. Step 2: Convert to fraction form
    19,887.50/27,443.44 = 10,934.16/x
  3. Step 3: Cross multiply
    19,887.50x = 27,443.44 × 10,934.16
  4. Step 4: Simplify right side
    19,887.50x = 300,070,963.91
  5. Step 5: Solve for x
    x = 300,070,963.91/19,887.50
  6. Step 6: Final answer
    x = 15,088.42

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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.