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Finding the Fourth Proportional to 6,784.64, 10,175.08 and 1,854.47

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Solution

The fourth proportional to 6,784.64, 10,175.08 and 1,854.47 is: 2,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.64 : 10,175.08 = 1,854.47 : x
  2. Step 2: Convert to fraction form
    6,784.64/10,175.08 = 1,854.47/x
  3. Step 3: Cross multiply
    6,784.64x = 10,175.08 × 1,854.47
  4. Step 4: Simplify right side
    6,784.64x = 18,869,380.61
  5. Step 5: Solve for x
    x = 18,869,380.61/6,784.64
  6. Step 6: Final answer
    x = 2,781.19

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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.