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Finding the Fourth Proportional to 1,687.52, 2,330.16 and 1,162.64

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Solution

The fourth proportional to 1,687.52, 2,330.16 and 1,162.64 is: 1,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.52 : 2,330.16 = 1,162.64 : x
  2. Step 2: Convert to fraction form
    1,687.52/2,330.16 = 1,162.64/x
  3. Step 3: Cross multiply
    1,687.52x = 2,330.16 × 1,162.64
  4. Step 4: Simplify right side
    1,687.52x = 2,709,137.22
  5. Step 5: Solve for x
    x = 2,709,137.22/1,687.52
  6. Step 6: Final answer
    x = 1,605.40

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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.