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Finding the Fourth Proportional to 5,070.66, 7,611.45 and 4,257.82

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Solution

The fourth proportional to 5,070.66, 7,611.45 and 4,257.82 is: 6,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.66 : 7,611.45 = 4,257.82 : x
  2. Step 2: Convert to fraction form
    5,070.66/7,611.45 = 4,257.82/x
  3. Step 3: Cross multiply
    5,070.66x = 7,611.45 × 4,257.82
  4. Step 4: Simplify right side
    5,070.66x = 32,408,184.04
  5. Step 5: Solve for x
    x = 32,408,184.04/5,070.66
  6. Step 6: Final answer
    x = 6,391.31

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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.