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Finding the Fourth Proportional to 4,989.47, 6,880.14 and 3,837.65

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Solution

The fourth proportional to 4,989.47, 6,880.14 and 3,837.65 is: 5,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.47 : 6,880.14 = 3,837.65 : x
  2. Step 2: Convert to fraction form
    4,989.47/6,880.14 = 3,837.65/x
  3. Step 3: Cross multiply
    4,989.47x = 6,880.14 × 3,837.65
  4. Step 4: Simplify right side
    4,989.47x = 26,403,534.87
  5. Step 5: Solve for x
    x = 26,403,534.87/4,989.47
  6. Step 6: Final answer
    x = 5,291.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.