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Finding the Fourth Proportional to 8,205.50, 12,300.05 and 7,587.68

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Solution

The fourth proportional to 8,205.50, 12,300.05 and 7,587.68 is: 11,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.50 : 12,300.05 = 7,587.68 : x
  2. Step 2: Convert to fraction form
    8,205.50/12,300.05 = 7,587.68/x
  3. Step 3: Cross multiply
    8,205.50x = 12,300.05 × 7,587.68
  4. Step 4: Simplify right side
    8,205.50x = 93,328,800.85
  5. Step 5: Solve for x
    x = 93,328,800.85/8,205.50
  6. Step 6: Final answer
    x = 11,373.93

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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.