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Finding the Fourth Proportional to 2,815.92, 3,886.16 and 1,637.16

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Solution

The fourth proportional to 2,815.92, 3,886.16 and 1,637.16 is: 2,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.92 : 3,886.16 = 1,637.16 : x
  2. Step 2: Convert to fraction form
    2,815.92/3,886.16 = 1,637.16/x
  3. Step 3: Cross multiply
    2,815.92x = 3,886.16 × 1,637.16
  4. Step 4: Simplify right side
    2,815.92x = 6,362,265.71
  5. Step 5: Solve for x
    x = 6,362,265.71/2,815.92
  6. Step 6: Final answer
    x = 2,259.39

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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.