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Finding the Fourth Proportional to 9,289.96, 12,820.10 and 5,098.12

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Solution

The fourth proportional to 9,289.96, 12,820.10 and 5,098.12 is: 7,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.96 : 12,820.10 = 5,098.12 : x
  2. Step 2: Convert to fraction form
    9,289.96/12,820.10 = 5,098.12/x
  3. Step 3: Cross multiply
    9,289.96x = 12,820.10 × 5,098.12
  4. Step 4: Simplify right side
    9,289.96x = 65,358,408.21
  5. Step 5: Solve for x
    x = 65,358,408.21/9,289.96
  6. Step 6: Final answer
    x = 7,035.38

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Similar ratio
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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.