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Finding the Fourth Proportional to 6,317.50, 9,472.60 and 2,807.50

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Solution

The fourth proportional to 6,317.50, 9,472.60 and 2,807.50 is: 4,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.50 : 9,472.60 = 2,807.50 : x
  2. Step 2: Convert to fraction form
    6,317.50/9,472.60 = 2,807.50/x
  3. Step 3: Cross multiply
    6,317.50x = 9,472.60 × 2,807.50
  4. Step 4: Simplify right side
    6,317.50x = 26,594,324.50
  5. Step 5: Solve for x
    x = 26,594,324.50/6,317.50
  6. Step 6: Final answer
    x = 4,209.63

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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.