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Finding the Fourth Proportional to 7,311, 10,971.54 and 6,336.12

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Solution

The fourth proportional to 7,311, 10,971.54 and 6,336.12 is: 9,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311 : 10,971.54 = 6,336.12 : x
  2. Step 2: Convert to fraction form
    7,311/10,971.54 = 6,336.12/x
  3. Step 3: Cross multiply
    7,311x = 10,971.54 × 6,336.12
  4. Step 4: Simplify right side
    7,311x = 69,516,994.02
  5. Step 5: Solve for x
    x = 69,516,994.02/7,311
  6. Step 6: Final answer
    x = 9,508.55

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1.5x scale

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.