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Finding the Fourth Proportional to 2,806.64, 3,873.16 and 1,628.40

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Solution

The fourth proportional to 2,806.64, 3,873.16 and 1,628.40 is: 2,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.64 : 3,873.16 = 1,628.40 : x
  2. Step 2: Convert to fraction form
    2,806.64/3,873.16 = 1,628.40/x
  3. Step 3: Cross multiply
    2,806.64x = 3,873.16 × 1,628.40
  4. Step 4: Simplify right side
    2,806.64x = 6,307,053.74
  5. Step 5: Solve for x
    x = 6,307,053.74/2,806.64
  6. Step 6: Final answer
    x = 2,247.19

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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.