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Finding the Fourth Proportional to 27,978.40, 42,016.20 and 14,856.40

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Solution

The fourth proportional to 27,978.40, 42,016.20 and 14,856.40 is: 22,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.40 : 42,016.20 = 14,856.40 : x
  2. Step 2: Convert to fraction form
    27,978.40/42,016.20 = 14,856.40/x
  3. Step 3: Cross multiply
    27,978.40x = 42,016.20 × 14,856.40
  4. Step 4: Simplify right side
    27,978.40x = 624,209,473.68
  5. Step 5: Solve for x
    x = 624,209,473.68/27,978.40
  6. Step 6: Final answer
    x = 22,310.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.