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Finding the Fourth Proportional to 4,657.94, 6,986.19 and 1,538

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Solution

The fourth proportional to 4,657.94, 6,986.19 and 1,538 is: 2,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.94 : 6,986.19 = 1,538 : x
  2. Step 2: Convert to fraction form
    4,657.94/6,986.19 = 1,538/x
  3. Step 3: Cross multiply
    4,657.94x = 6,986.19 × 1,538
  4. Step 4: Simplify right side
    4,657.94x = 10,744,760.22
  5. Step 5: Solve for x
    x = 10,744,760.22/4,657.94
  6. Step 6: Final answer
    x = 2,306.76

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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.