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Finding the Fourth Proportional to 29,886.68, 41,232.84 and 19,820

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Solution

The fourth proportional to 29,886.68, 41,232.84 and 19,820 is: 27,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,886.68 : 41,232.84 = 19,820 : x
  2. Step 2: Convert to fraction form
    29,886.68/41,232.84 = 19,820/x
  3. Step 3: Cross multiply
    29,886.68x = 41,232.84 × 19,820
  4. Step 4: Simplify right side
    29,886.68x = 817,234,888.80
  5. Step 5: Solve for x
    x = 817,234,888.80/29,886.68
  6. Step 6: Final answer
    x = 27,344.45

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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.