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Finding the Fourth Proportional to 34,745.50, 52,121.32 and 9,785.76

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Solution

The fourth proportional to 34,745.50, 52,121.32 and 9,785.76 is: 14,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.50 : 52,121.32 = 9,785.76 : x
  2. Step 2: Convert to fraction form
    34,745.50/52,121.32 = 9,785.76/x
  3. Step 3: Cross multiply
    34,745.50x = 52,121.32 × 9,785.76
  4. Step 4: Simplify right side
    34,745.50x = 510,046,728.40
  5. Step 5: Solve for x
    x = 510,046,728.40/34,745.50
  6. Step 6: Final answer
    x = 14,679.50

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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.