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Finding the Fourth Proportional to 5,702.96, 7,869.92 and 3,185.00

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Solution

The fourth proportional to 5,702.96, 7,869.92 and 3,185.00 is: 4,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.96 : 7,869.92 = 3,185.00 : x
  2. Step 2: Convert to fraction form
    5,702.96/7,869.92 = 3,185.00/x
  3. Step 3: Cross multiply
    5,702.96x = 7,869.92 × 3,185.00
  4. Step 4: Simplify right side
    5,702.96x = 25,065,655.85
  5. Step 5: Solve for x
    x = 25,065,655.85/5,702.96
  6. Step 6: Final answer
    x = 4,395.20

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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.