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Finding the Fourth Proportional to 6,488.65, 9,717.37 and 3,706.88

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Solution

The fourth proportional to 6,488.65, 9,717.37 and 3,706.88 is: 5,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.65 : 9,717.37 = 3,706.88 : x
  2. Step 2: Convert to fraction form
    6,488.65/9,717.37 = 3,706.88/x
  3. Step 3: Cross multiply
    6,488.65x = 9,717.37 × 3,706.88
  4. Step 4: Simplify right side
    6,488.65x = 36,021,124.51
  5. Step 5: Solve for x
    x = 36,021,124.51/6,488.65
  6. Step 6: Final answer
    x = 5,551.41

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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.