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Finding the Fourth Proportional to 5,287.66, 7,296.66 and 2,897.62

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Solution

The fourth proportional to 5,287.66, 7,296.66 and 2,897.62 is: 3,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.66 : 7,296.66 = 2,897.62 : x
  2. Step 2: Convert to fraction form
    5,287.66/7,296.66 = 2,897.62/x
  3. Step 3: Cross multiply
    5,287.66x = 7,296.66 × 2,897.62
  4. Step 4: Simplify right side
    5,287.66x = 21,142,947.95
  5. Step 5: Solve for x
    x = 21,142,947.95/5,287.66
  6. Step 6: Final answer
    x = 3,998.55

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1.5x scale

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.