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Finding the Fourth Proportional to 9,157.22, 12,636.92 and 5,178.34

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Solution

The fourth proportional to 9,157.22, 12,636.92 and 5,178.34 is: 7,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.22 : 12,636.92 = 5,178.34 : x
  2. Step 2: Convert to fraction form
    9,157.22/12,636.92 = 5,178.34/x
  3. Step 3: Cross multiply
    9,157.22x = 12,636.92 × 5,178.34
  4. Step 4: Simplify right side
    9,157.22x = 65,438,268.31
  5. Step 5: Solve for x
    x = 65,438,268.31/9,157.22
  6. Step 6: Final answer
    x = 7,146.08

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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.