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Finding the Fourth Proportional to 6,809.47, 10,209.65 and 2,646.88

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Solution

The fourth proportional to 6,809.47, 10,209.65 and 2,646.88 is: 3,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.47 : 10,209.65 = 2,646.88 : x
  2. Step 2: Convert to fraction form
    6,809.47/10,209.65 = 2,646.88/x
  3. Step 3: Cross multiply
    6,809.47x = 10,209.65 × 2,646.88
  4. Step 4: Simplify right side
    6,809.47x = 27,023,679.63
  5. Step 5: Solve for x
    x = 27,023,679.63/6,809.47
  6. Step 6: Final answer
    x = 3,968.55

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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.