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Finding the Fourth Proportional to 11,647.76, 16,074.20 and 6,612.20

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Solution

The fourth proportional to 11,647.76, 16,074.20 and 6,612.20 is: 9,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.76 : 16,074.20 = 6,612.20 : x
  2. Step 2: Convert to fraction form
    11,647.76/16,074.20 = 6,612.20/x
  3. Step 3: Cross multiply
    11,647.76x = 16,074.20 × 6,612.20
  4. Step 4: Simplify right side
    11,647.76x = 106,285,825.24
  5. Step 5: Solve for x
    x = 106,285,825.24/11,647.76
  6. Step 6: Final answer
    x = 9,125.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.