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Finding the Fourth Proportional to 3,405, 4,684.32 and 3,259.20

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Solution

The fourth proportional to 3,405, 4,684.32 and 3,259.20 is: 4,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 4,684.32 = 3,259.20 : x
  2. Step 2: Convert to fraction form
    3,405/4,684.32 = 3,259.20/x
  3. Step 3: Cross multiply
    3,405x = 4,684.32 × 3,259.20
  4. Step 4: Simplify right side
    3,405x = 15,267,135.74
  5. Step 5: Solve for x
    x = 15,267,135.74/3,405
  6. Step 6: Final answer
    x = 4,483.74

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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.