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Finding the Fourth Proportional to 2,808.35, 4,209.71 and 1,417.48

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Solution

The fourth proportional to 2,808.35, 4,209.71 and 1,417.48 is: 2,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.35 : 4,209.71 = 1,417.48 : x
  2. Step 2: Convert to fraction form
    2,808.35/4,209.71 = 1,417.48/x
  3. Step 3: Cross multiply
    2,808.35x = 4,209.71 × 1,417.48
  4. Step 4: Simplify right side
    2,808.35x = 5,967,167.43
  5. Step 5: Solve for x
    x = 5,967,167.43/2,808.35
  6. Step 6: Final answer
    x = 2,124.80

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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.