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Finding the Fourth Proportional to 1,854.39, 2,781.76 and 684.35

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Solution

The fourth proportional to 1,854.39, 2,781.76 and 684.35 is: 1,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.39 : 2,781.76 = 684.35 : x
  2. Step 2: Convert to fraction form
    1,854.39/2,781.76 = 684.35/x
  3. Step 3: Cross multiply
    1,854.39x = 2,781.76 × 684.35
  4. Step 4: Simplify right side
    1,854.39x = 1,903,683.55
  5. Step 5: Solve for x
    x = 1,903,683.55/1,854.39
  6. Step 6: Final answer
    x = 1,026.58

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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.