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Finding the Fourth Proportional to 8,730.42, 13,117.50 and 8,205.54

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Solution

The fourth proportional to 8,730.42, 13,117.50 and 8,205.54 is: 12,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.42 : 13,117.50 = 8,205.54 : x
  2. Step 2: Convert to fraction form
    8,730.42/13,117.50 = 8,205.54/x
  3. Step 3: Cross multiply
    8,730.42x = 13,117.50 × 8,205.54
  4. Step 4: Simplify right side
    8,730.42x = 107,636,170.95
  5. Step 5: Solve for x
    x = 107,636,170.95/8,730.42
  6. Step 6: Final answer
    x = 12,328.87

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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.