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Finding the Fourth Proportional to 8,407.92, 11,603.88 and 5,422.56

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Solution

The fourth proportional to 8,407.92, 11,603.88 and 5,422.56 is: 7,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.92 : 11,603.88 = 5,422.56 : x
  2. Step 2: Convert to fraction form
    8,407.92/11,603.88 = 5,422.56/x
  3. Step 3: Cross multiply
    8,407.92x = 11,603.88 × 5,422.56
  4. Step 4: Simplify right side
    8,407.92x = 62,922,735.53
  5. Step 5: Solve for x
    x = 62,922,735.53/8,407.92
  6. Step 6: Final answer
    x = 7,483.75

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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.