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Finding the Fourth Proportional to 3,113.83, 4,670.76 and 805.33

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Solution

The fourth proportional to 3,113.83, 4,670.76 and 805.33 is: 1,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.83 : 4,670.76 = 805.33 : x
  2. Step 2: Convert to fraction form
    3,113.83/4,670.76 = 805.33/x
  3. Step 3: Cross multiply
    3,113.83x = 4,670.76 × 805.33
  4. Step 4: Simplify right side
    3,113.83x = 3,761,503.15
  5. Step 5: Solve for x
    x = 3,761,503.15/3,113.83
  6. Step 6: Final answer
    x = 1,208.00

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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.