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Finding the Fourth Proportional to 2,907.76, 4,012.32 and 1,728.40

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Solution

The fourth proportional to 2,907.76, 4,012.32 and 1,728.40 is: 2,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.76 : 4,012.32 = 1,728.40 : x
  2. Step 2: Convert to fraction form
    2,907.76/4,012.32 = 1,728.40/x
  3. Step 3: Cross multiply
    2,907.76x = 4,012.32 × 1,728.40
  4. Step 4: Simplify right side
    2,907.76x = 6,934,893.89
  5. Step 5: Solve for x
    x = 6,934,893.89/2,907.76
  6. Step 6: Final answer
    x = 2,384.96

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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.