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Finding the Fourth Proportional to 9,168.63, 12,652.50 and 5,189.10

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Solution

The fourth proportional to 9,168.63, 12,652.50 and 5,189.10 is: 7,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.63 : 12,652.50 = 5,189.10 : x
  2. Step 2: Convert to fraction form
    9,168.63/12,652.50 = 5,189.10/x
  3. Step 3: Cross multiply
    9,168.63x = 12,652.50 × 5,189.10
  4. Step 4: Simplify right side
    9,168.63x = 65,655,087.75
  5. Step 5: Solve for x
    x = 65,655,087.75/9,168.63
  6. Step 6: Final answer
    x = 7,160.84

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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.