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Finding the Fourth Proportional to 2,907.64, 4,012.14 and 1,728.46

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Solution

The fourth proportional to 2,907.64, 4,012.14 and 1,728.46 is: 2,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.64 : 4,012.14 = 1,728.46 : x
  2. Step 2: Convert to fraction form
    2,907.64/4,012.14 = 1,728.46/x
  3. Step 3: Cross multiply
    2,907.64x = 4,012.14 × 1,728.46
  4. Step 4: Simplify right side
    2,907.64x = 6,934,823.50
  5. Step 5: Solve for x
    x = 6,934,823.50/2,907.64
  6. Step 6: Final answer
    x = 2,385.04

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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.