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Finding the Fourth Proportional to 8,003.40, 12,004.15 and 2,160.47

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Solution

The fourth proportional to 8,003.40, 12,004.15 and 2,160.47 is: 3,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.40 : 12,004.15 = 2,160.47 : x
  2. Step 2: Convert to fraction form
    8,003.40/12,004.15 = 2,160.47/x
  3. Step 3: Cross multiply
    8,003.40x = 12,004.15 × 2,160.47
  4. Step 4: Simplify right side
    8,003.40x = 25,934,605.95
  5. Step 5: Solve for x
    x = 25,934,605.95/8,003.40
  6. Step 6: Final answer
    x = 3,240.45

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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.