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Finding the Fourth Proportional to 3,225.66, 4,838.50 and 917.16

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Solution

The fourth proportional to 3,225.66, 4,838.50 and 917.16 is: 1,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.66 : 4,838.50 = 917.16 : x
  2. Step 2: Convert to fraction form
    3,225.66/4,838.50 = 917.16/x
  3. Step 3: Cross multiply
    3,225.66x = 4,838.50 × 917.16
  4. Step 4: Simplify right side
    3,225.66x = 4,437,661.66
  5. Step 5: Solve for x
    x = 4,437,661.66/3,225.66
  6. Step 6: Final answer
    x = 1,375.74

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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.