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Finding the Fourth Proportional to 9,640, 14,437.32 and 8,089.96

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Solution

The fourth proportional to 9,640, 14,437.32 and 8,089.96 is: 12,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640 : 14,437.32 = 8,089.96 : x
  2. Step 2: Convert to fraction form
    9,640/14,437.32 = 8,089.96/x
  3. Step 3: Cross multiply
    9,640x = 14,437.32 × 8,089.96
  4. Step 4: Simplify right side
    9,640x = 116,797,341.31
  5. Step 5: Solve for x
    x = 116,797,341.31/9,640
  6. Step 6: Final answer
    x = 12,115.91

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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.