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Finding the Fourth Proportional to 2,485.72, 3,728.58 and 1,024.48

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Solution

The fourth proportional to 2,485.72, 3,728.58 and 1,024.48 is: 1,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.72 : 3,728.58 = 1,024.48 : x
  2. Step 2: Convert to fraction form
    2,485.72/3,728.58 = 1,024.48/x
  3. Step 3: Cross multiply
    2,485.72x = 3,728.58 × 1,024.48
  4. Step 4: Simplify right side
    2,485.72x = 3,819,855.64
  5. Step 5: Solve for x
    x = 3,819,855.64/2,485.72
  6. Step 6: Final answer
    x = 1,536.72

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1.5x scale

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.