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Finding the Fourth Proportional to 2,134.99, 2,945.16 and 1,470.70

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Solution

The fourth proportional to 2,134.99, 2,945.16 and 1,470.70 is: 2,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.99 : 2,945.16 = 1,470.70 : x
  2. Step 2: Convert to fraction form
    2,134.99/2,945.16 = 1,470.70/x
  3. Step 3: Cross multiply
    2,134.99x = 2,945.16 × 1,470.70
  4. Step 4: Simplify right side
    2,134.99x = 4,331,446.81
  5. Step 5: Solve for x
    x = 4,331,446.81/2,134.99
  6. Step 6: Final answer
    x = 2,028.79

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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.