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Finding the Fourth Proportional to 45,849, 68,785.02 and 13,017

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Solution

The fourth proportional to 45,849, 68,785.02 and 13,017 is: 19,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,849 : 68,785.02 = 13,017 : x
  2. Step 2: Convert to fraction form
    45,849/68,785.02 = 13,017/x
  3. Step 3: Cross multiply
    45,849x = 68,785.02 × 13,017
  4. Step 4: Simplify right side
    45,849x = 895,374,605.34
  5. Step 5: Solve for x
    x = 895,374,605.34/45,849
  6. Step 6: Final answer
    x = 19,528.77

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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.