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Finding the Fourth Proportional to 1,643.92, 2,451.62 and 1,402

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Solution

The fourth proportional to 1,643.92, 2,451.62 and 1,402 is: 2,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.92 : 2,451.62 = 1,402 : x
  2. Step 2: Convert to fraction form
    1,643.92/2,451.62 = 1,402/x
  3. Step 3: Cross multiply
    1,643.92x = 2,451.62 × 1,402
  4. Step 4: Simplify right side
    1,643.92x = 3,437,171.24
  5. Step 5: Solve for x
    x = 3,437,171.24/1,643.92
  6. Step 6: Final answer
    x = 2,090.84

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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.