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Finding the Fourth Proportional to 8,267.94, 12,406.50 and 7,641

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Solution

The fourth proportional to 8,267.94, 12,406.50 and 7,641 is: 11,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.94 : 12,406.50 = 7,641 : x
  2. Step 2: Convert to fraction form
    8,267.94/12,406.50 = 7,641/x
  3. Step 3: Cross multiply
    8,267.94x = 12,406.50 × 7,641
  4. Step 4: Simplify right side
    8,267.94x = 94,798,066.50
  5. Step 5: Solve for x
    x = 94,798,066.50/8,267.94
  6. Step 6: Final answer
    x = 11,465.74

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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.