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Finding the Fourth Proportional to 5,703.81, 7,870.31 and 3,185.84

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Solution

The fourth proportional to 5,703.81, 7,870.31 and 3,185.84 is: 4,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.81 : 7,870.31 = 3,185.84 : x
  2. Step 2: Convert to fraction form
    5,703.81/7,870.31 = 3,185.84/x
  3. Step 3: Cross multiply
    5,703.81x = 7,870.31 × 3,185.84
  4. Step 4: Simplify right side
    5,703.81x = 25,073,493.13
  5. Step 5: Solve for x
    x = 25,073,493.13/5,703.81
  6. Step 6: Final answer
    x = 4,395.92

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.