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Finding the Fourth Proportional to 38,422.50, 53,023.06 and 20,758.50

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Solution

The fourth proportional to 38,422.50, 53,023.06 and 20,758.50 is: 28,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.50 : 53,023.06 = 20,758.50 : x
  2. Step 2: Convert to fraction form
    38,422.50/53,023.06 = 20,758.50/x
  3. Step 3: Cross multiply
    38,422.50x = 53,023.06 × 20,758.50
  4. Step 4: Simplify right side
    38,422.50x = 1,100,679,191.01
  5. Step 5: Solve for x
    x = 1,100,679,191.01/38,422.50
  6. Step 6: Final answer
    x = 28,646.74

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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.