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Finding the Fourth Proportional to 12,847.61, 17,737.89 and 8,069.93

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Solution

The fourth proportional to 12,847.61, 17,737.89 and 8,069.93 is: 11,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.61 : 17,737.89 = 8,069.93 : x
  2. Step 2: Convert to fraction form
    12,847.61/17,737.89 = 8,069.93/x
  3. Step 3: Cross multiply
    12,847.61x = 17,737.89 × 8,069.93
  4. Step 4: Simplify right side
    12,847.61x = 143,143,478.21
  5. Step 5: Solve for x
    x = 143,143,478.21/12,847.61
  6. Step 6: Final answer
    x = 11,141.64

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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.