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Finding the Fourth Proportional to 9,000.70, 13,498 and 3,156.54

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Solution

The fourth proportional to 9,000.70, 13,498 and 3,156.54 is: 4,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.70 : 13,498 = 3,156.54 : x
  2. Step 2: Convert to fraction form
    9,000.70/13,498 = 3,156.54/x
  3. Step 3: Cross multiply
    9,000.70x = 13,498 × 3,156.54
  4. Step 4: Simplify right side
    9,000.70x = 42,606,976.92
  5. Step 5: Solve for x
    x = 42,606,976.92/9,000.70
  6. Step 6: Final answer
    x = 4,733.74

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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.