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Finding the Fourth Proportional to 3,215.86, 4,823.88 and 1,024.39

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Solution

The fourth proportional to 3,215.86, 4,823.88 and 1,024.39 is: 1,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.86 : 4,823.88 = 1,024.39 : x
  2. Step 2: Convert to fraction form
    3,215.86/4,823.88 = 1,024.39/x
  3. Step 3: Cross multiply
    3,215.86x = 4,823.88 × 1,024.39
  4. Step 4: Simplify right side
    3,215.86x = 4,941,534.43
  5. Step 5: Solve for x
    x = 4,941,534.43/3,215.86
  6. Step 6: Final answer
    x = 1,536.61

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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.