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Finding the Fourth Proportional to 10,647.60, 15,978.96 and 4,809.12

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Solution

The fourth proportional to 10,647.60, 15,978.96 and 4,809.12 is: 7,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.60 : 15,978.96 = 4,809.12 : x
  2. Step 2: Convert to fraction form
    10,647.60/15,978.96 = 4,809.12/x
  3. Step 3: Cross multiply
    10,647.60x = 15,978.96 × 4,809.12
  4. Step 4: Simplify right side
    10,647.60x = 76,844,736.12
  5. Step 5: Solve for x
    x = 76,844,736.12/10,647.60
  6. Step 6: Final answer
    x = 7,217.09

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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.