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Finding the Fourth Proportional to 3,393.65, 5,089.11 and 1,417.99

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Solution

The fourth proportional to 3,393.65, 5,089.11 and 1,417.99 is: 2,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.65 : 5,089.11 = 1,417.99 : x
  2. Step 2: Convert to fraction form
    3,393.65/5,089.11 = 1,417.99/x
  3. Step 3: Cross multiply
    3,393.65x = 5,089.11 × 1,417.99
  4. Step 4: Simplify right side
    3,393.65x = 7,216,278.10
  5. Step 5: Solve for x
    x = 7,216,278.10/3,393.65
  6. Step 6: Final answer
    x = 2,126.41

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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.