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Finding the Fourth Proportional to 6,406.68, 9,611.28 and 2,511

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Solution

The fourth proportional to 6,406.68, 9,611.28 and 2,511 is: 3,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.68 : 9,611.28 = 2,511 : x
  2. Step 2: Convert to fraction form
    6,406.68/9,611.28 = 2,511/x
  3. Step 3: Cross multiply
    6,406.68x = 9,611.28 × 2,511
  4. Step 4: Simplify right side
    6,406.68x = 24,133,924.08
  5. Step 5: Solve for x
    x = 24,133,924.08/6,406.68
  6. Step 6: Final answer
    x = 3,766.99

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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.