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Finding the Fourth Proportional to 3,852.95, 5,751.54 and 3,385.86

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Solution

The fourth proportional to 3,852.95, 5,751.54 and 3,385.86 is: 5,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.95 : 5,751.54 = 3,385.86 : x
  2. Step 2: Convert to fraction form
    3,852.95/5,751.54 = 3,385.86/x
  3. Step 3: Cross multiply
    3,852.95x = 5,751.54 × 3,385.86
  4. Step 4: Simplify right side
    3,852.95x = 19,473,909.22
  5. Step 5: Solve for x
    x = 19,473,909.22/3,852.95
  6. Step 6: Final answer
    x = 5,054.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.