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Finding the Fourth Proportional to 1,646.56, 2,458.04 and 1,526.56

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Solution

The fourth proportional to 1,646.56, 2,458.04 and 1,526.56 is: 2,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.56 : 2,458.04 = 1,526.56 : x
  2. Step 2: Convert to fraction form
    1,646.56/2,458.04 = 1,526.56/x
  3. Step 3: Cross multiply
    1,646.56x = 2,458.04 × 1,526.56
  4. Step 4: Simplify right side
    1,646.56x = 3,752,345.54
  5. Step 5: Solve for x
    x = 3,752,345.54/1,646.56
  6. Step 6: Final answer
    x = 2,278.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.