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Finding the Fourth Proportional to 3,497.76, 4,827.36 and 2,907.28

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Solution

The fourth proportional to 3,497.76, 4,827.36 and 2,907.28 is: 4,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.76 : 4,827.36 = 2,907.28 : x
  2. Step 2: Convert to fraction form
    3,497.76/4,827.36 = 2,907.28/x
  3. Step 3: Cross multiply
    3,497.76x = 4,827.36 × 2,907.28
  4. Step 4: Simplify right side
    3,497.76x = 14,034,487.18
  5. Step 5: Solve for x
    x = 14,034,487.18/3,497.76
  6. Step 6: Final answer
    x = 4,012.42

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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.