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Finding the Fourth Proportional to 3,113.98, 4,670.99 and 805.46

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Solution

The fourth proportional to 3,113.98, 4,670.99 and 805.46 is: 1,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.98 : 4,670.99 = 805.46 : x
  2. Step 2: Convert to fraction form
    3,113.98/4,670.99 = 805.46/x
  3. Step 3: Cross multiply
    3,113.98x = 4,670.99 × 805.46
  4. Step 4: Simplify right side
    3,113.98x = 3,762,295.61
  5. Step 5: Solve for x
    x = 3,762,295.61/3,113.98
  6. Step 6: Final answer
    x = 1,208.20

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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.