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Finding the Fourth Proportional to 1,225.16, 1,835.42 and 949.91

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Solution

The fourth proportional to 1,225.16, 1,835.42 and 949.91 is: 1,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.16 : 1,835.42 = 949.91 : x
  2. Step 2: Convert to fraction form
    1,225.16/1,835.42 = 949.91/x
  3. Step 3: Cross multiply
    1,225.16x = 1,835.42 × 949.91
  4. Step 4: Simplify right side
    1,225.16x = 1,743,474.64
  5. Step 5: Solve for x
    x = 1,743,474.64/1,225.16
  6. Step 6: Final answer
    x = 1,423.06

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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.