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Finding the Fourth Proportional to 8,730.17, 13,117.14 and 8,205.29

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Solution

The fourth proportional to 8,730.17, 13,117.14 and 8,205.29 is: 12,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.17 : 13,117.14 = 8,205.29 : x
  2. Step 2: Convert to fraction form
    8,730.17/13,117.14 = 8,205.29/x
  3. Step 3: Cross multiply
    8,730.17x = 13,117.14 × 8,205.29
  4. Step 4: Simplify right side
    8,730.17x = 107,629,872.08
  5. Step 5: Solve for x
    x = 107,629,872.08/8,730.17
  6. Step 6: Final answer
    x = 12,328.50

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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.