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Finding the Fourth Proportional to 6,298.78, 9,448.20 and 1,916.50

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Solution

The fourth proportional to 6,298.78, 9,448.20 and 1,916.50 is: 2,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.78 : 9,448.20 = 1,916.50 : x
  2. Step 2: Convert to fraction form
    6,298.78/9,448.20 = 1,916.50/x
  3. Step 3: Cross multiply
    6,298.78x = 9,448.20 × 1,916.50
  4. Step 4: Simplify right side
    6,298.78x = 18,107,475.30
  5. Step 5: Solve for x
    x = 18,107,475.30/6,298.78
  6. Step 6: Final answer
    x = 2,874.76

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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.