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Finding the Fourth Proportional to 2,907.90, 4,356.72 and 2,541.78

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Solution

The fourth proportional to 2,907.90, 4,356.72 and 2,541.78 is: 3,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.90 : 4,356.72 = 2,541.78 : x
  2. Step 2: Convert to fraction form
    2,907.90/4,356.72 = 2,541.78/x
  3. Step 3: Cross multiply
    2,907.90x = 4,356.72 × 2,541.78
  4. Step 4: Simplify right side
    2,907.90x = 11,073,823.76
  5. Step 5: Solve for x
    x = 11,073,823.76/2,907.90
  6. Step 6: Final answer
    x = 3,808.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.