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Finding the Fourth Proportional to 9,155, 12,635.92 and 5,176.28

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Solution

The fourth proportional to 9,155, 12,635.92 and 5,176.28 is: 7,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155 : 12,635.92 = 5,176.28 : x
  2. Step 2: Convert to fraction form
    9,155/12,635.92 = 5,176.28/x
  3. Step 3: Cross multiply
    9,155x = 12,635.92 × 5,176.28
  4. Step 4: Simplify right side
    9,155x = 65,407,059.98
  5. Step 5: Solve for x
    x = 65,407,059.98/9,155
  6. Step 6: Final answer
    x = 7,144.41

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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.