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Finding the Fourth Proportional to 8,113.08, 12,146.58 and 7,734.20

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Solution

The fourth proportional to 8,113.08, 12,146.58 and 7,734.20 is: 11,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.08 : 12,146.58 = 7,734.20 : x
  2. Step 2: Convert to fraction form
    8,113.08/12,146.58 = 7,734.20/x
  3. Step 3: Cross multiply
    8,113.08x = 12,146.58 × 7,734.20
  4. Step 4: Simplify right side
    8,113.08x = 93,944,079.04
  5. Step 5: Solve for x
    x = 93,944,079.04/8,113.08
  6. Step 6: Final answer
    x = 11,579.34

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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.