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Finding the Fourth Proportional to 6,642.95, 9,968.06 and 2,485.82

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Solution

The fourth proportional to 6,642.95, 9,968.06 and 2,485.82 is: 3,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.95 : 9,968.06 = 2,485.82 : x
  2. Step 2: Convert to fraction form
    6,642.95/9,968.06 = 2,485.82/x
  3. Step 3: Cross multiply
    6,642.95x = 9,968.06 × 2,485.82
  4. Step 4: Simplify right side
    6,642.95x = 24,778,834.04
  5. Step 5: Solve for x
    x = 24,778,834.04/6,642.95
  6. Step 6: Final answer
    x = 3,730.10

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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.