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Finding the Fourth Proportional to 1,699.88, 2,561.16 and 1,535.54

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Solution

The fourth proportional to 1,699.88, 2,561.16 and 1,535.54 is: 2,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.88 : 2,561.16 = 1,535.54 : x
  2. Step 2: Convert to fraction form
    1,699.88/2,561.16 = 1,535.54/x
  3. Step 3: Cross multiply
    1,699.88x = 2,561.16 × 1,535.54
  4. Step 4: Simplify right side
    1,699.88x = 3,932,750.82
  5. Step 5: Solve for x
    x = 3,932,750.82/1,699.88
  6. Step 6: Final answer
    x = 2,313.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.