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Finding the Fourth Proportional to 10,015, 15,027.86 and 6,504.18

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Solution

The fourth proportional to 10,015, 15,027.86 and 6,504.18 is: 9,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015 : 15,027.86 = 6,504.18 : x
  2. Step 2: Convert to fraction form
    10,015/15,027.86 = 6,504.18/x
  3. Step 3: Cross multiply
    10,015x = 15,027.86 × 6,504.18
  4. Step 4: Simplify right side
    10,015x = 97,743,906.45
  5. Step 5: Solve for x
    x = 97,743,906.45/10,015
  6. Step 6: Final answer
    x = 9,759.75

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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.