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Finding the Fourth Proportional to 6,689.39, 9,239.21 and 5,349.65

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Solution

The fourth proportional to 6,689.39, 9,239.21 and 5,349.65 is: 7,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.39 : 9,239.21 = 5,349.65 : x
  2. Step 2: Convert to fraction form
    6,689.39/9,239.21 = 5,349.65/x
  3. Step 3: Cross multiply
    6,689.39x = 9,239.21 × 5,349.65
  4. Step 4: Simplify right side
    6,689.39x = 49,426,516.99
  5. Step 5: Solve for x
    x = 49,426,516.99/6,689.39
  6. Step 6: Final answer
    x = 7,388.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.