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Finding the Fourth Proportional to 2,392.90, 3,302.52 and 1,345

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Solution

The fourth proportional to 2,392.90, 3,302.52 and 1,345 is: 1,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.90 : 3,302.52 = 1,345 : x
  2. Step 2: Convert to fraction form
    2,392.90/3,302.52 = 1,345/x
  3. Step 3: Cross multiply
    2,392.90x = 3,302.52 × 1,345
  4. Step 4: Simplify right side
    2,392.90x = 4,441,889.40
  5. Step 5: Solve for x
    x = 4,441,889.40/2,392.90
  6. Step 6: Final answer
    x = 1,856.28

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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.