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Finding the Fourth Proportional to 3,473.35, 5,209.95 and 876.31

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Solution

The fourth proportional to 3,473.35, 5,209.95 and 876.31 is: 1,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.35 : 5,209.95 = 876.31 : x
  2. Step 2: Convert to fraction form
    3,473.35/5,209.95 = 876.31/x
  3. Step 3: Cross multiply
    3,473.35x = 5,209.95 × 876.31
  4. Step 4: Simplify right side
    3,473.35x = 4,565,531.28
  5. Step 5: Solve for x
    x = 4,565,531.28/3,473.35
  6. Step 6: Final answer
    x = 1,314.45

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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.