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Finding the Fourth Proportional to 7,699.65, 11,555.10 and 7,240.38

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Solution

The fourth proportional to 7,699.65, 11,555.10 and 7,240.38 is: 10,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.65 : 11,555.10 = 7,240.38 : x
  2. Step 2: Convert to fraction form
    7,699.65/11,555.10 = 7,240.38/x
  3. Step 3: Cross multiply
    7,699.65x = 11,555.10 × 7,240.38
  4. Step 4: Simplify right side
    7,699.65x = 83,663,314.94
  5. Step 5: Solve for x
    x = 83,663,314.94/7,699.65
  6. Step 6: Final answer
    x = 10,865.86

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1.5x scale

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.