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Finding the Fourth Proportional to 2,907, 4,022.18 and 2,534.76

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Solution

The fourth proportional to 2,907, 4,022.18 and 2,534.76 is: 3,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907 : 4,022.18 = 2,534.76 : x
  2. Step 2: Convert to fraction form
    2,907/4,022.18 = 2,534.76/x
  3. Step 3: Cross multiply
    2,907x = 4,022.18 × 2,534.76
  4. Step 4: Simplify right side
    2,907x = 10,195,260.98
  5. Step 5: Solve for x
    x = 10,195,260.98/2,907
  6. Step 6: Final answer
    x = 3,507.14

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1.5x scale

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.