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Finding the Fourth Proportional to 39,482.88, 59,233.62 and 12,828.78

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Solution

The fourth proportional to 39,482.88, 59,233.62 and 12,828.78 is: 19,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482.88 : 59,233.62 = 12,828.78 : x
  2. Step 2: Convert to fraction form
    39,482.88/59,233.62 = 12,828.78/x
  3. Step 3: Cross multiply
    39,482.88x = 59,233.62 × 12,828.78
  4. Step 4: Simplify right side
    39,482.88x = 759,895,079.58
  5. Step 5: Solve for x
    x = 759,895,079.58/39,482.88
  6. Step 6: Final answer
    x = 19,246.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.