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Finding the Fourth Proportional to 45,915, 68,884.06 and 13,083

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Solution

The fourth proportional to 45,915, 68,884.06 and 13,083 is: 19,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,915 : 68,884.06 = 13,083 : x
  2. Step 2: Convert to fraction form
    45,915/68,884.06 = 13,083/x
  3. Step 3: Cross multiply
    45,915x = 68,884.06 × 13,083
  4. Step 4: Simplify right side
    45,915x = 901,210,156.98
  5. Step 5: Solve for x
    x = 901,210,156.98/45,915
  6. Step 6: Final answer
    x = 19,627.79

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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.