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Finding the Fourth Proportional to 12,772.86, 17,621.19 and 8,298.30

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Solution

The fourth proportional to 12,772.86, 17,621.19 and 8,298.30 is: 11,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.86 : 17,621.19 = 8,298.30 : x
  2. Step 2: Convert to fraction form
    12,772.86/17,621.19 = 8,298.30/x
  3. Step 3: Cross multiply
    12,772.86x = 17,621.19 × 8,298.30
  4. Step 4: Simplify right side
    12,772.86x = 146,225,920.98
  5. Step 5: Solve for x
    x = 146,225,920.98/12,772.86
  6. Step 6: Final answer
    x = 11,448.17

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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.