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Finding the Fourth Proportional to 5,261.70, 7,880.94 and 3,948.24

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Solution

The fourth proportional to 5,261.70, 7,880.94 and 3,948.24 is: 5,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.70 : 7,880.94 = 3,948.24 : x
  2. Step 2: Convert to fraction form
    5,261.70/7,880.94 = 3,948.24/x
  3. Step 3: Cross multiply
    5,261.70x = 7,880.94 × 3,948.24
  4. Step 4: Simplify right side
    5,261.70x = 31,115,842.55
  5. Step 5: Solve for x
    x = 31,115,842.55/5,261.70
  6. Step 6: Final answer
    x = 5,913.65

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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.