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Finding the Fourth Proportional to 6,317.76, 9,475.20 and 2,856

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Solution

The fourth proportional to 6,317.76, 9,475.20 and 2,856 is: 4,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.76 : 9,475.20 = 2,856 : x
  2. Step 2: Convert to fraction form
    6,317.76/9,475.20 = 2,856/x
  3. Step 3: Cross multiply
    6,317.76x = 9,475.20 × 2,856
  4. Step 4: Simplify right side
    6,317.76x = 27,061,171.20
  5. Step 5: Solve for x
    x = 27,061,171.20/6,317.76
  6. Step 6: Final answer
    x = 4,283.35

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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.