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Finding the Fourth Proportional to 2,974.55, 4,459.80 and 1,415.30

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Solution

The fourth proportional to 2,974.55, 4,459.80 and 1,415.30 is: 2,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.55 : 4,459.80 = 1,415.30 : x
  2. Step 2: Convert to fraction form
    2,974.55/4,459.80 = 1,415.30/x
  3. Step 3: Cross multiply
    2,974.55x = 4,459.80 × 1,415.30
  4. Step 4: Simplify right side
    2,974.55x = 6,311,954.94
  5. Step 5: Solve for x
    x = 6,311,954.94/2,974.55
  6. Step 6: Final answer
    x = 2,121.99

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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.