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Finding the Fourth Proportional to 8,746.84, 13,129.22 and 6,820.12

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Solution

The fourth proportional to 8,746.84, 13,129.22 and 6,820.12 is: 10,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.84 : 13,129.22 = 6,820.12 : x
  2. Step 2: Convert to fraction form
    8,746.84/13,129.22 = 6,820.12/x
  3. Step 3: Cross multiply
    8,746.84x = 13,129.22 × 6,820.12
  4. Step 4: Simplify right side
    8,746.84x = 89,542,855.91
  5. Step 5: Solve for x
    x = 89,542,855.91/8,746.84
  6. Step 6: Final answer
    x = 10,237.17

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1.5x scale

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.