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Finding the Fourth Proportional to 8,653.84, 12,972.86 and 4,209.06

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Solution

The fourth proportional to 8,653.84, 12,972.86 and 4,209.06 is: 6,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.84 : 12,972.86 = 4,209.06 : x
  2. Step 2: Convert to fraction form
    8,653.84/12,972.86 = 4,209.06/x
  3. Step 3: Cross multiply
    8,653.84x = 12,972.86 × 4,209.06
  4. Step 4: Simplify right side
    8,653.84x = 54,603,589.50
  5. Step 5: Solve for x
    x = 54,603,589.50/8,653.84
  6. Step 6: Final answer
    x = 6,309.75

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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.