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Finding the Fourth Proportional to 1,854.77, 2,781.50 and 621.81

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Solution

The fourth proportional to 1,854.77, 2,781.50 and 621.81 is: 932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.77 : 2,781.50 = 621.81 : x
  2. Step 2: Convert to fraction form
    1,854.77/2,781.50 = 621.81/x
  3. Step 3: Cross multiply
    1,854.77x = 2,781.50 × 621.81
  4. Step 4: Simplify right side
    1,854.77x = 1,729,561.41
  5. Step 5: Solve for x
    x = 1,729,561.41/1,854.77
  6. Step 6: Final answer
    x = 932.50

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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.