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Finding the Fourth Proportional to 9,289.10, 13,984.34 and 8,472.62

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Solution

The fourth proportional to 9,289.10, 13,984.34 and 8,472.62 is: 12,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.10 : 13,984.34 = 8,472.62 : x
  2. Step 2: Convert to fraction form
    9,289.10/13,984.34 = 8,472.62/x
  3. Step 3: Cross multiply
    9,289.10x = 13,984.34 × 8,472.62
  4. Step 4: Simplify right side
    9,289.10x = 118,483,998.77
  5. Step 5: Solve for x
    x = 118,483,998.77/9,289.10
  6. Step 6: Final answer
    x = 12,755.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.