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Finding the Fourth Proportional to 3,506.80, 5,257.76 and 1,656.88

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Solution

The fourth proportional to 3,506.80, 5,257.76 and 1,656.88 is: 2,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.80 : 5,257.76 = 1,656.88 : x
  2. Step 2: Convert to fraction form
    3,506.80/5,257.76 = 1,656.88/x
  3. Step 3: Cross multiply
    3,506.80x = 5,257.76 × 1,656.88
  4. Step 4: Simplify right side
    3,506.80x = 8,711,477.39
  5. Step 5: Solve for x
    x = 8,711,477.39/3,506.80
  6. Step 6: Final answer
    x = 2,484.17

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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.