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Finding the Fourth Proportional to 5,137.82, 7,706.12 and 1,440.32

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Solution

The fourth proportional to 5,137.82, 7,706.12 and 1,440.32 is: 2,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.82 : 7,706.12 = 1,440.32 : x
  2. Step 2: Convert to fraction form
    5,137.82/7,706.12 = 1,440.32/x
  3. Step 3: Cross multiply
    5,137.82x = 7,706.12 × 1,440.32
  4. Step 4: Simplify right side
    5,137.82x = 11,099,278.76
  5. Step 5: Solve for x
    x = 11,099,278.76/5,137.82
  6. Step 6: Final answer
    x = 2,160.31

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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.