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Finding the Fourth Proportional to 7,216.65, 10,834.93 and 4,989.96

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Solution

The fourth proportional to 7,216.65, 10,834.93 and 4,989.96 is: 7,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.65 : 10,834.93 = 4,989.96 : x
  2. Step 2: Convert to fraction form
    7,216.65/10,834.93 = 4,989.96/x
  3. Step 3: Cross multiply
    7,216.65x = 10,834.93 × 4,989.96
  4. Step 4: Simplify right side
    7,216.65x = 54,065,854.83
  5. Step 5: Solve for x
    x = 54,065,854.83/7,216.65
  6. Step 6: Final answer
    x = 7,491.82

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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.