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Finding the Fourth Proportional to 8,400.84, 12,603.72 and 3,470.76

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Solution

The fourth proportional to 8,400.84, 12,603.72 and 3,470.76 is: 5,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.84 : 12,603.72 = 3,470.76 : x
  2. Step 2: Convert to fraction form
    8,400.84/12,603.72 = 3,470.76/x
  3. Step 3: Cross multiply
    8,400.84x = 12,603.72 × 3,470.76
  4. Step 4: Simplify right side
    8,400.84x = 43,744,487.23
  5. Step 5: Solve for x
    x = 43,744,487.23/8,400.84
  6. Step 6: Final answer
    x = 5,207.16

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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.