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Finding the Fourth Proportional to 1,656.72, 2,486.10 and 1,643.58

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Solution

The fourth proportional to 1,656.72, 2,486.10 and 1,643.58 is: 2,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.72 : 2,486.10 = 1,643.58 : x
  2. Step 2: Convert to fraction form
    1,656.72/2,486.10 = 1,643.58/x
  3. Step 3: Cross multiply
    1,656.72x = 2,486.10 × 1,643.58
  4. Step 4: Simplify right side
    1,656.72x = 4,086,104.24
  5. Step 5: Solve for x
    x = 4,086,104.24/1,656.72
  6. Step 6: Final answer
    x = 2,466.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.