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Finding the Fourth Proportional to 1,650.90, 2,479.49 and 1,417.16

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Solution

The fourth proportional to 1,650.90, 2,479.49 and 1,417.16 is: 2,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.90 : 2,479.49 = 1,417.16 : x
  2. Step 2: Convert to fraction form
    1,650.90/2,479.49 = 1,417.16/x
  3. Step 3: Cross multiply
    1,650.90x = 2,479.49 × 1,417.16
  4. Step 4: Simplify right side
    1,650.90x = 3,513,814.57
  5. Step 5: Solve for x
    x = 3,513,814.57/1,650.90
  6. Step 6: Final answer
    x = 2,128.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.