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Finding the Fourth Proportional to 37,281, 51,447.78 and 20,513.64

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Solution

The fourth proportional to 37,281, 51,447.78 and 20,513.64 is: 28,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,281 : 51,447.78 = 20,513.64 : x
  2. Step 2: Convert to fraction form
    37,281/51,447.78 = 20,513.64/x
  3. Step 3: Cross multiply
    37,281x = 51,447.78 × 20,513.64
  4. Step 4: Simplify right side
    37,281x = 1,055,381,237.72
  5. Step 5: Solve for x
    x = 1,055,381,237.72/37,281
  6. Step 6: Final answer
    x = 28,308.82

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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.