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Finding the Fourth Proportional to 1,216.61, 1,812.65 and 1,172.67

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Solution

The fourth proportional to 1,216.61, 1,812.65 and 1,172.67 is: 1,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.61 : 1,812.65 = 1,172.67 : x
  2. Step 2: Convert to fraction form
    1,216.61/1,812.65 = 1,172.67/x
  3. Step 3: Cross multiply
    1,216.61x = 1,812.65 × 1,172.67
  4. Step 4: Simplify right side
    1,216.61x = 2,125,640.28
  5. Step 5: Solve for x
    x = 2,125,640.28/1,216.61
  6. Step 6: Final answer
    x = 1,747.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.