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Finding the Fourth Proportional to 3,113.94, 4,670.90 and 805.26

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Solution

The fourth proportional to 3,113.94, 4,670.90 and 805.26 is: 1,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.94 : 4,670.90 = 805.26 : x
  2. Step 2: Convert to fraction form
    3,113.94/4,670.90 = 805.26/x
  3. Step 3: Cross multiply
    3,113.94x = 4,670.90 × 805.26
  4. Step 4: Simplify right side
    3,113.94x = 3,761,288.93
  5. Step 5: Solve for x
    x = 3,761,288.93/3,113.94
  6. Step 6: Final answer
    x = 1,207.89

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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.