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Finding the Fourth Proportional to 4,290.58, 6,433.58 and 2,209.74

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Solution

The fourth proportional to 4,290.58, 6,433.58 and 2,209.74 is: 3,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.58 : 6,433.58 = 2,209.74 : x
  2. Step 2: Convert to fraction form
    4,290.58/6,433.58 = 2,209.74/x
  3. Step 3: Cross multiply
    4,290.58x = 6,433.58 × 2,209.74
  4. Step 4: Simplify right side
    4,290.58x = 14,216,520.47
  5. Step 5: Solve for x
    x = 14,216,520.47/4,290.58
  6. Step 6: Final answer
    x = 3,313.43

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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.