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Finding the Fourth Proportional to 2,392.34, 3,580.74 and 2,165.00

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Solution

The fourth proportional to 2,392.34, 3,580.74 and 2,165.00 is: 3,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.34 : 3,580.74 = 2,165.00 : x
  2. Step 2: Convert to fraction form
    2,392.34/3,580.74 = 2,165.00/x
  3. Step 3: Cross multiply
    2,392.34x = 3,580.74 × 2,165.00
  4. Step 4: Simplify right side
    2,392.34x = 7,752,284.20
  5. Step 5: Solve for x
    x = 7,752,284.20/2,392.34
  6. Step 6: Final answer
    x = 3,240.47

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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.