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Finding the Fourth Proportional to 9,050.52, 13,574.11 and 3,784.11

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Solution

The fourth proportional to 9,050.52, 13,574.11 and 3,784.11 is: 5,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.52 : 13,574.11 = 3,784.11 : x
  2. Step 2: Convert to fraction form
    9,050.52/13,574.11 = 3,784.11/x
  3. Step 3: Cross multiply
    9,050.52x = 13,574.11 × 3,784.11
  4. Step 4: Simplify right side
    9,050.52x = 51,365,925.39
  5. Step 5: Solve for x
    x = 51,365,925.39/9,050.52
  6. Step 6: Final answer
    x = 5,675.47

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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.