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Finding the Fourth Proportional to 5,287.46, 7,296.39 and 2,929.46

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Solution

The fourth proportional to 5,287.46, 7,296.39 and 2,929.46 is: 4,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.46 : 7,296.39 = 2,929.46 : x
  2. Step 2: Convert to fraction form
    5,287.46/7,296.39 = 2,929.46/x
  3. Step 3: Cross multiply
    5,287.46x = 7,296.39 × 2,929.46
  4. Step 4: Simplify right side
    5,287.46x = 21,374,482.65
  5. Step 5: Solve for x
    x = 21,374,482.65/5,287.46
  6. Step 6: Final answer
    x = 4,042.49

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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.