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Finding the Fourth Proportional to 9,048, 13,574.64 and 3,854.40

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Solution

The fourth proportional to 9,048, 13,574.64 and 3,854.40 is: 5,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048 : 13,574.64 = 3,854.40 : x
  2. Step 2: Convert to fraction form
    9,048/13,574.64 = 3,854.40/x
  3. Step 3: Cross multiply
    9,048x = 13,574.64 × 3,854.40
  4. Step 4: Simplify right side
    9,048x = 52,322,092.42
  5. Step 5: Solve for x
    x = 52,322,092.42/9,048
  6. Step 6: Final answer
    x = 5,782.72

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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.