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Finding the Fourth Proportional to 27,856.40, 38,435.80 and 17,650.40

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Solution

The fourth proportional to 27,856.40, 38,435.80 and 17,650.40 is: 24,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.40 : 38,435.80 = 17,650.40 : x
  2. Step 2: Convert to fraction form
    27,856.40/38,435.80 = 17,650.40/x
  3. Step 3: Cross multiply
    27,856.40x = 38,435.80 × 17,650.40
  4. Step 4: Simplify right side
    27,856.40x = 678,407,244.32
  5. Step 5: Solve for x
    x = 678,407,244.32/27,856.40
  6. Step 6: Final answer
    x = 24,353.73

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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.