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Finding the Fourth Proportional to 7,803.78, 11,705.52 and 2,256.90

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Solution

The fourth proportional to 7,803.78, 11,705.52 and 2,256.90 is: 3,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.78 : 11,705.52 = 2,256.90 : x
  2. Step 2: Convert to fraction form
    7,803.78/11,705.52 = 2,256.90/x
  3. Step 3: Cross multiply
    7,803.78x = 11,705.52 × 2,256.90
  4. Step 4: Simplify right side
    7,803.78x = 26,418,188.09
  5. Step 5: Solve for x
    x = 26,418,188.09/7,803.78
  6. Step 6: Final answer
    x = 3,385.31

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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.