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Finding the Fourth Proportional to 4,657.68, 6,986.37 and 1,147.71

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Solution

The fourth proportional to 4,657.68, 6,986.37 and 1,147.71 is: 1,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.68 : 6,986.37 = 1,147.71 : x
  2. Step 2: Convert to fraction form
    4,657.68/6,986.37 = 1,147.71/x
  3. Step 3: Cross multiply
    4,657.68x = 6,986.37 × 1,147.71
  4. Step 4: Simplify right side
    4,657.68x = 8,018,326.71
  5. Step 5: Solve for x
    x = 8,018,326.71/4,657.68
  6. Step 6: Final answer
    x = 1,721.53

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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.