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Finding the Fourth Proportional to 45,592, 68,391.84 and 12,760

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Solution

The fourth proportional to 45,592, 68,391.84 and 12,760 is: 19,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,592 : 68,391.84 = 12,760 : x
  2. Step 2: Convert to fraction form
    45,592/68,391.84 = 12,760/x
  3. Step 3: Cross multiply
    45,592x = 68,391.84 × 12,760
  4. Step 4: Simplify right side
    45,592x = 872,679,878.40
  5. Step 5: Solve for x
    x = 872,679,878.40/45,592
  6. Step 6: Final answer
    x = 19,141.07

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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.