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Finding the Fourth Proportional to 2,392.64, 3,585.72 and 1,239.20

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Solution

The fourth proportional to 2,392.64, 3,585.72 and 1,239.20 is: 1,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.64 : 3,585.72 = 1,239.20 : x
  2. Step 2: Convert to fraction form
    2,392.64/3,585.72 = 1,239.20/x
  3. Step 3: Cross multiply
    2,392.64x = 3,585.72 × 1,239.20
  4. Step 4: Simplify right side
    2,392.64x = 4,443,424.22
  5. Step 5: Solve for x
    x = 4,443,424.22/2,392.64
  6. Step 6: Final answer
    x = 1,857.12

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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.