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Finding the Fourth Proportional to 5,646.80, 7,792.20 and 3,290

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Solution

The fourth proportional to 5,646.80, 7,792.20 and 3,290 is: 4,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.80 : 7,792.20 = 3,290 : x
  2. Step 2: Convert to fraction form
    5,646.80/7,792.20 = 3,290/x
  3. Step 3: Cross multiply
    5,646.80x = 7,792.20 × 3,290
  4. Step 4: Simplify right side
    5,646.80x = 25,636,338
  5. Step 5: Solve for x
    x = 25,636,338/5,646.80
  6. Step 6: Final answer
    x = 4,539.98

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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.