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Finding the Fourth Proportional to 6,460.94, 9,691.60 and 1,781.02

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Solution

The fourth proportional to 6,460.94, 9,691.60 and 1,781.02 is: 2,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.94 : 9,691.60 = 1,781.02 : x
  2. Step 2: Convert to fraction form
    6,460.94/9,691.60 = 1,781.02/x
  3. Step 3: Cross multiply
    6,460.94x = 9,691.60 × 1,781.02
  4. Step 4: Simplify right side
    6,460.94x = 17,260,933.43
  5. Step 5: Solve for x
    x = 17,260,933.43/6,460.94
  6. Step 6: Final answer
    x = 2,671.58

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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.