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Finding the Fourth Proportional to 6,543.87, 9,808.95 and 3,207.51

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Solution

The fourth proportional to 6,543.87, 9,808.95 and 3,207.51 is: 4,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.87 : 9,808.95 = 3,207.51 : x
  2. Step 2: Convert to fraction form
    6,543.87/9,808.95 = 3,207.51/x
  3. Step 3: Cross multiply
    6,543.87x = 9,808.95 × 3,207.51
  4. Step 4: Simplify right side
    6,543.87x = 31,462,305.21
  5. Step 5: Solve for x
    x = 31,462,305.21/6,543.87
  6. Step 6: Final answer
    x = 4,807.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.