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Finding the Fourth Proportional to 2,334.87, 3,502.31 and 947.95

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Solution

The fourth proportional to 2,334.87, 3,502.31 and 947.95 is: 1,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.87 : 3,502.31 = 947.95 : x
  2. Step 2: Convert to fraction form
    2,334.87/3,502.31 = 947.95/x
  3. Step 3: Cross multiply
    2,334.87x = 3,502.31 × 947.95
  4. Step 4: Simplify right side
    2,334.87x = 3,320,014.76
  5. Step 5: Solve for x
    x = 3,320,014.76/2,334.87
  6. Step 6: Final answer
    x = 1,421.93

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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.