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Finding the Fourth Proportional to 8,646.84, 11,934.19 and 6,780.60

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Solution

The fourth proportional to 8,646.84, 11,934.19 and 6,780.60 is: 9,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.84 : 11,934.19 = 6,780.60 : x
  2. Step 2: Convert to fraction form
    8,646.84/11,934.19 = 6,780.60/x
  3. Step 3: Cross multiply
    8,646.84x = 11,934.19 × 6,780.60
  4. Step 4: Simplify right side
    8,646.84x = 80,920,968.71
  5. Step 5: Solve for x
    x = 80,920,968.71/8,646.84
  6. Step 6: Final answer
    x = 9,358.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.