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Finding the Fourth Proportional to 2,438.52, 3,657.94 and 707

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Solution

The fourth proportional to 2,438.52, 3,657.94 and 707 is: 1,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.52 : 3,657.94 = 707 : x
  2. Step 2: Convert to fraction form
    2,438.52/3,657.94 = 707/x
  3. Step 3: Cross multiply
    2,438.52x = 3,657.94 × 707
  4. Step 4: Simplify right side
    2,438.52x = 2,586,163.58
  5. Step 5: Solve for x
    x = 2,586,163.58/2,438.52
  6. Step 6: Final answer
    x = 1,060.55

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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.