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Finding the Fourth Proportional to 19,887.96, 27,446 and 11,390.12

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Solution

The fourth proportional to 19,887.96, 27,446 and 11,390.12 is: 15,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.96 : 27,446 = 11,390.12 : x
  2. Step 2: Convert to fraction form
    19,887.96/27,446 = 11,390.12/x
  3. Step 3: Cross multiply
    19,887.96x = 27,446 × 11,390.12
  4. Step 4: Simplify right side
    19,887.96x = 312,613,233.52
  5. Step 5: Solve for x
    x = 312,613,233.52/19,887.96
  6. Step 6: Final answer
    x = 15,718.72

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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.