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Finding the Fourth Proportional to 3,143.95, 4,709.76 and 2,559.58

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Solution

The fourth proportional to 3,143.95, 4,709.76 and 2,559.58 is: 3,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.95 : 4,709.76 = 2,559.58 : x
  2. Step 2: Convert to fraction form
    3,143.95/4,709.76 = 2,559.58/x
  3. Step 3: Cross multiply
    3,143.95x = 4,709.76 × 2,559.58
  4. Step 4: Simplify right side
    3,143.95x = 12,055,007.50
  5. Step 5: Solve for x
    x = 12,055,007.50/3,143.95
  6. Step 6: Final answer
    x = 3,834.35

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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.