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Finding the Fourth Proportional to 37,886, 52,282.92 and 21,119.12

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Solution

The fourth proportional to 37,886, 52,282.92 and 21,119.12 is: 29,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,886 : 52,282.92 = 21,119.12 : x
  2. Step 2: Convert to fraction form
    37,886/52,282.92 = 21,119.12/x
  3. Step 3: Cross multiply
    37,886x = 52,282.92 × 21,119.12
  4. Step 4: Simplify right side
    37,886x = 1,104,169,261.43
  5. Step 5: Solve for x
    x = 1,104,169,261.43/37,886
  6. Step 6: Final answer
    x = 29,144.52

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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.