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Finding the Fourth Proportional to 5,711.42, 7,880 and 3,354.32

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Solution

The fourth proportional to 5,711.42, 7,880 and 3,354.32 is: 4,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.42 : 7,880 = 3,354.32 : x
  2. Step 2: Convert to fraction form
    5,711.42/7,880 = 3,354.32/x
  3. Step 3: Cross multiply
    5,711.42x = 7,880 × 3,354.32
  4. Step 4: Simplify right side
    5,711.42x = 26,432,041.60
  5. Step 5: Solve for x
    x = 26,432,041.60/5,711.42
  6. Step 6: Final answer
    x = 4,627.93

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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.