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Finding the Fourth Proportional to 3,506.78, 4,832.06 and 2,385.78

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Solution

The fourth proportional to 3,506.78, 4,832.06 and 2,385.78 is: 3,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.78 : 4,832.06 = 2,385.78 : x
  2. Step 2: Convert to fraction form
    3,506.78/4,832.06 = 2,385.78/x
  3. Step 3: Cross multiply
    3,506.78x = 4,832.06 × 2,385.78
  4. Step 4: Simplify right side
    3,506.78x = 11,528,232.11
  5. Step 5: Solve for x
    x = 11,528,232.11/3,506.78
  6. Step 6: Final answer
    x = 3,287.41

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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.