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Finding the Fourth Proportional to 13,603.16, 20,390.34 and 7,747.22

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Solution

The fourth proportional to 13,603.16, 20,390.34 and 7,747.22 is: 11,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.16 : 20,390.34 = 7,747.22 : x
  2. Step 2: Convert to fraction form
    13,603.16/20,390.34 = 7,747.22/x
  3. Step 3: Cross multiply
    13,603.16x = 20,390.34 × 7,747.22
  4. Step 4: Simplify right side
    13,603.16x = 157,968,449.85
  5. Step 5: Solve for x
    x = 157,968,449.85/13,603.16
  6. Step 6: Final answer
    x = 11,612.63

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1.5x scale

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.