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Finding the Fourth Proportional to 9,896.70, 14,823.45 and 7,688.10

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Solution

The fourth proportional to 9,896.70, 14,823.45 and 7,688.10 is: 11,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.70 : 14,823.45 = 7,688.10 : x
  2. Step 2: Convert to fraction form
    9,896.70/14,823.45 = 7,688.10/x
  3. Step 3: Cross multiply
    9,896.70x = 14,823.45 × 7,688.10
  4. Step 4: Simplify right side
    9,896.70x = 113,964,165.95
  5. Step 5: Solve for x
    x = 113,964,165.95/9,896.70
  6. Step 6: Final answer
    x = 11,515.37

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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.