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Finding the Fourth Proportional to 2,485.79, 3,729.13 and 1,024.14

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Solution

The fourth proportional to 2,485.79, 3,729.13 and 1,024.14 is: 1,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.79 : 3,729.13 = 1,024.14 : x
  2. Step 2: Convert to fraction form
    2,485.79/3,729.13 = 1,024.14/x
  3. Step 3: Cross multiply
    2,485.79x = 3,729.13 × 1,024.14
  4. Step 4: Simplify right side
    2,485.79x = 3,819,146.08
  5. Step 5: Solve for x
    x = 3,819,146.08/2,485.79
  6. Step 6: Final answer
    x = 1,536.39

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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.