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Finding the Fourth Proportional to 2,192.88, 3,024.78 and 1,308

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Solution

The fourth proportional to 2,192.88, 3,024.78 and 1,308 is: 1,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.88 : 3,024.78 = 1,308 : x
  2. Step 2: Convert to fraction form
    2,192.88/3,024.78 = 1,308/x
  3. Step 3: Cross multiply
    2,192.88x = 3,024.78 × 1,308
  4. Step 4: Simplify right side
    2,192.88x = 3,956,412.24
  5. Step 5: Solve for x
    x = 3,956,412.24/2,192.88
  6. Step 6: Final answer
    x = 1,804.21

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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.