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Finding the Fourth Proportional to 2,590.28, 3,574.28 and 1,470.99

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Solution

The fourth proportional to 2,590.28, 3,574.28 and 1,470.99 is: 2,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.28 : 3,574.28 = 1,470.99 : x
  2. Step 2: Convert to fraction form
    2,590.28/3,574.28 = 1,470.99/x
  3. Step 3: Cross multiply
    2,590.28x = 3,574.28 × 1,470.99
  4. Step 4: Simplify right side
    2,590.28x = 5,257,730.14
  5. Step 5: Solve for x
    x = 5,257,730.14/2,590.28
  6. Step 6: Final answer
    x = 2,029.79

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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.