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Finding the Fourth Proportional to 7,453, 11,184.77 and 3,557.71

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Solution

The fourth proportional to 7,453, 11,184.77 and 3,557.71 is: 5,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453 : 11,184.77 = 3,557.71 : x
  2. Step 2: Convert to fraction form
    7,453/11,184.77 = 3,557.71/x
  3. Step 3: Cross multiply
    7,453x = 11,184.77 × 3,557.71
  4. Step 4: Simplify right side
    7,453x = 39,792,168.08
  5. Step 5: Solve for x
    x = 39,792,168.08/7,453
  6. Step 6: Final answer
    x = 5,339.08

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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.