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Finding the Fourth Proportional to 2,836, 3,913.68 and 1,658.06

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Solution

The fourth proportional to 2,836, 3,913.68 and 1,658.06 is: 2,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836 : 3,913.68 = 1,658.06 : x
  2. Step 2: Convert to fraction form
    2,836/3,913.68 = 1,658.06/x
  3. Step 3: Cross multiply
    2,836x = 3,913.68 × 1,658.06
  4. Step 4: Simplify right side
    2,836x = 6,489,116.26
  5. Step 5: Solve for x
    x = 6,489,116.26/2,836
  6. Step 6: Final answer
    x = 2,288.12

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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.