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Finding the Fourth Proportional to 2,907.60, 4,010 and 1,963.14

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Solution

The fourth proportional to 2,907.60, 4,010 and 1,963.14 is: 2,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.60 : 4,010 = 1,963.14 : x
  2. Step 2: Convert to fraction form
    2,907.60/4,010 = 1,963.14/x
  3. Step 3: Cross multiply
    2,907.60x = 4,010 × 1,963.14
  4. Step 4: Simplify right side
    2,907.60x = 7,872,191.40
  5. Step 5: Solve for x
    x = 7,872,191.40/2,907.60
  6. Step 6: Final answer
    x = 2,707.45

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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.