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Finding the Fourth Proportional to 3,417.62, 5,123.35 and 1,225.83

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Solution

The fourth proportional to 3,417.62, 5,123.35 and 1,225.83 is: 1,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.62 : 5,123.35 = 1,225.83 : x
  2. Step 2: Convert to fraction form
    3,417.62/5,123.35 = 1,225.83/x
  3. Step 3: Cross multiply
    3,417.62x = 5,123.35 × 1,225.83
  4. Step 4: Simplify right side
    3,417.62x = 6,280,376.88
  5. Step 5: Solve for x
    x = 6,280,376.88/3,417.62
  6. Step 6: Final answer
    x = 1,837.65

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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.