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Finding the Fourth Proportional to 1,649.10, 2,469.74 and 954.30

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Solution

The fourth proportional to 1,649.10, 2,469.74 and 954.30 is: 1,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.10 : 2,469.74 = 954.30 : x
  2. Step 2: Convert to fraction form
    1,649.10/2,469.74 = 954.30/x
  3. Step 3: Cross multiply
    1,649.10x = 2,469.74 × 954.30
  4. Step 4: Simplify right side
    1,649.10x = 2,356,868.11
  5. Step 5: Solve for x
    x = 2,356,868.11/1,649.10
  6. Step 6: Final answer
    x = 1,429.18

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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.