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Finding the Fourth Proportional to 1,578.90, 2,369.78 and 1,572.99

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Solution

The fourth proportional to 1,578.90, 2,369.78 and 1,572.99 is: 2,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.90 : 2,369.78 = 1,572.99 : x
  2. Step 2: Convert to fraction form
    1,578.90/2,369.78 = 1,572.99/x
  3. Step 3: Cross multiply
    1,578.90x = 2,369.78 × 1,572.99
  4. Step 4: Simplify right side
    1,578.90x = 3,727,640.24
  5. Step 5: Solve for x
    x = 3,727,640.24/1,578.90
  6. Step 6: Final answer
    x = 2,360.91

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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.