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Finding the Fourth Proportional to 6,291.14, 8,681.71 and 3,419.93

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Solution

The fourth proportional to 6,291.14, 8,681.71 and 3,419.93 is: 4,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.14 : 8,681.71 = 3,419.93 : x
  2. Step 2: Convert to fraction form
    6,291.14/8,681.71 = 3,419.93/x
  3. Step 3: Cross multiply
    6,291.14x = 8,681.71 × 3,419.93
  4. Step 4: Simplify right side
    6,291.14x = 29,690,840.48
  5. Step 5: Solve for x
    x = 29,690,840.48/6,291.14
  6. Step 6: Final answer
    x = 4,719.47

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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.