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Finding the Fourth Proportional to 6,486.30, 9,715.05 and 5,334.30

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Solution

The fourth proportional to 6,486.30, 9,715.05 and 5,334.30 is: 7,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.30 : 9,715.05 = 5,334.30 : x
  2. Step 2: Convert to fraction form
    6,486.30/9,715.05 = 5,334.30/x
  3. Step 3: Cross multiply
    6,486.30x = 9,715.05 × 5,334.30
  4. Step 4: Simplify right side
    6,486.30x = 51,822,991.22
  5. Step 5: Solve for x
    x = 51,822,991.22/6,486.30
  6. Step 6: Final answer
    x = 7,989.61

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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.