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Finding the Fourth Proportional to 27,600, 38,097.60 and 16,421.76

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Solution

The fourth proportional to 27,600, 38,097.60 and 16,421.76 is: 22,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600 : 38,097.60 = 16,421.76 : x
  2. Step 2: Convert to fraction form
    27,600/38,097.60 = 16,421.76/x
  3. Step 3: Cross multiply
    27,600x = 38,097.60 × 16,421.76
  4. Step 4: Simplify right side
    27,600x = 625,629,643.78
  5. Step 5: Solve for x
    x = 625,629,643.78/27,600
  6. Step 6: Final answer
    x = 22,667.74

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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.