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Finding the Fourth Proportional to 2,844.80, 3,925.30 and 1,585.82

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Solution

The fourth proportional to 2,844.80, 3,925.30 and 1,585.82 is: 2,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.80 : 3,925.30 = 1,585.82 : x
  2. Step 2: Convert to fraction form
    2,844.80/3,925.30 = 1,585.82/x
  3. Step 3: Cross multiply
    2,844.80x = 3,925.30 × 1,585.82
  4. Step 4: Simplify right side
    2,844.80x = 6,224,819.25
  5. Step 5: Solve for x
    x = 6,224,819.25/2,844.80
  6. Step 6: Final answer
    x = 2,188.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.