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Finding the Fourth Proportional to 3,478.18, 4,800.07 and 1,945.32

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Solution

The fourth proportional to 3,478.18, 4,800.07 and 1,945.32 is: 2,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.18 : 4,800.07 = 1,945.32 : x
  2. Step 2: Convert to fraction form
    3,478.18/4,800.07 = 1,945.32/x
  3. Step 3: Cross multiply
    3,478.18x = 4,800.07 × 1,945.32
  4. Step 4: Simplify right side
    3,478.18x = 9,337,663.66
  5. Step 5: Solve for x
    x = 9,337,663.66/3,478.18
  6. Step 6: Final answer
    x = 2,684.64

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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.