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Finding the Fourth Proportional to 6,113, 8,437.86 and 3,905

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Solution

The fourth proportional to 6,113, 8,437.86 and 3,905 is: 5,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113 : 8,437.86 = 3,905 : x
  2. Step 2: Convert to fraction form
    6,113/8,437.86 = 3,905/x
  3. Step 3: Cross multiply
    6,113x = 8,437.86 × 3,905
  4. Step 4: Simplify right side
    6,113x = 32,949,843.30
  5. Step 5: Solve for x
    x = 32,949,843.30/6,113
  6. Step 6: Final answer
    x = 5,390.13

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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.