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Finding the Fourth Proportional to 5,509.71, 7,603.74 and 3,151.80

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Solution

The fourth proportional to 5,509.71, 7,603.74 and 3,151.80 is: 4,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.71 : 7,603.74 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    5,509.71/7,603.74 = 3,151.80/x
  3. Step 3: Cross multiply
    5,509.71x = 7,603.74 × 3,151.80
  4. Step 4: Simplify right side
    5,509.71x = 23,965,467.73
  5. Step 5: Solve for x
    x = 23,965,467.73/5,509.71
  6. Step 6: Final answer
    x = 4,349.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.