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Finding the Fourth Proportional to 27,978.38, 38,615.34 and 16,041.80

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Solution

The fourth proportional to 27,978.38, 38,615.34 and 16,041.80 is: 22,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.38 : 38,615.34 = 16,041.80 : x
  2. Step 2: Convert to fraction form
    27,978.38/38,615.34 = 16,041.80/x
  3. Step 3: Cross multiply
    27,978.38x = 38,615.34 × 16,041.80
  4. Step 4: Simplify right side
    27,978.38x = 619,459,561.21
  5. Step 5: Solve for x
    x = 619,459,561.21/27,978.38
  6. Step 6: Final answer
    x = 22,140.65

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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.