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Finding the Fourth Proportional to 9,157, 12,638.68 and 5,178.28

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Solution

The fourth proportional to 9,157, 12,638.68 and 5,178.28 is: 7,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157 : 12,638.68 = 5,178.28 : x
  2. Step 2: Convert to fraction form
    9,157/12,638.68 = 5,178.28/x
  3. Step 3: Cross multiply
    9,157x = 12,638.68 × 5,178.28
  4. Step 4: Simplify right side
    9,157x = 65,446,623.87
  5. Step 5: Solve for x
    x = 65,446,623.87/9,157
  6. Step 6: Final answer
    x = 7,147.17

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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.