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Finding the Fourth Proportional to 3,854.61, 5,784.96 and 1,980.43

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Solution

The fourth proportional to 3,854.61, 5,784.96 and 1,980.43 is: 2,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.61 : 5,784.96 = 1,980.43 : x
  2. Step 2: Convert to fraction form
    3,854.61/5,784.96 = 1,980.43/x
  3. Step 3: Cross multiply
    3,854.61x = 5,784.96 × 1,980.43
  4. Step 4: Simplify right side
    3,854.61x = 11,456,669.51
  5. Step 5: Solve for x
    x = 11,456,669.51/3,854.61
  6. Step 6: Final answer
    x = 2,972.20

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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.