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Finding the Fourth Proportional to 3,135.74, 4,703.74 and 2,586.90

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Solution

The fourth proportional to 3,135.74, 4,703.74 and 2,586.90 is: 3,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.74 : 4,703.74 = 2,586.90 : x
  2. Step 2: Convert to fraction form
    3,135.74/4,703.74 = 2,586.90/x
  3. Step 3: Cross multiply
    3,135.74x = 4,703.74 × 2,586.90
  4. Step 4: Simplify right side
    3,135.74x = 12,168,105.01
  5. Step 5: Solve for x
    x = 12,168,105.01/3,135.74
  6. Step 6: Final answer
    x = 3,880.46

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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.