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Finding the Fourth Proportional to 6,508.95, 8,980.79 and 3,857.01

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Solution

The fourth proportional to 6,508.95, 8,980.79 and 3,857.01 is: 5,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.95 : 8,980.79 = 3,857.01 : x
  2. Step 2: Convert to fraction form
    6,508.95/8,980.79 = 3,857.01/x
  3. Step 3: Cross multiply
    6,508.95x = 8,980.79 × 3,857.01
  4. Step 4: Simplify right side
    6,508.95x = 34,638,977.55
  5. Step 5: Solve for x
    x = 34,638,977.55/6,508.95
  6. Step 6: Final answer
    x = 5,321.75

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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.