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Finding the Fourth Proportional to 8,005.47, 12,006.39 and 2,381.99

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Solution

The fourth proportional to 8,005.47, 12,006.39 and 2,381.99 is: 3,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.47 : 12,006.39 = 2,381.99 : x
  2. Step 2: Convert to fraction form
    8,005.47/12,006.39 = 2,381.99/x
  3. Step 3: Cross multiply
    8,005.47x = 12,006.39 × 2,381.99
  4. Step 4: Simplify right side
    8,005.47x = 28,599,117.35
  5. Step 5: Solve for x
    x = 28,599,117.35/8,005.47
  6. Step 6: Final answer
    x = 3,572.45

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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.