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Finding the Fourth Proportional to 12,901.92, 17,807.52 and 8,192.64

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Solution

The fourth proportional to 12,901.92, 17,807.52 and 8,192.64 is: 11,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.92 : 17,807.52 = 8,192.64 : x
  2. Step 2: Convert to fraction form
    12,901.92/17,807.52 = 8,192.64/x
  3. Step 3: Cross multiply
    12,901.92x = 17,807.52 × 8,192.64
  4. Step 4: Simplify right side
    12,901.92x = 145,890,600.65
  5. Step 5: Solve for x
    x = 145,890,600.65/12,901.92
  6. Step 6: Final answer
    x = 11,307.67

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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.