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Finding the Fourth Proportional to 5,260.64, 7,890.95 and 2,142.34

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Solution

The fourth proportional to 5,260.64, 7,890.95 and 2,142.34 is: 3,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.64 : 7,890.95 = 2,142.34 : x
  2. Step 2: Convert to fraction form
    5,260.64/7,890.95 = 2,142.34/x
  3. Step 3: Cross multiply
    5,260.64x = 7,890.95 × 2,142.34
  4. Step 4: Simplify right side
    5,260.64x = 16,905,083.45
  5. Step 5: Solve for x
    x = 16,905,083.45/5,260.64
  6. Step 6: Final answer
    x = 3,213.51

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Similar ratio
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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.