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Finding the Fourth Proportional to 9,164.80, 12,648 and 5,186.08

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Solution

The fourth proportional to 9,164.80, 12,648 and 5,186.08 is: 7,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.80 : 12,648 = 5,186.08 : x
  2. Step 2: Convert to fraction form
    9,164.80/12,648 = 5,186.08/x
  3. Step 3: Cross multiply
    9,164.80x = 12,648 × 5,186.08
  4. Step 4: Simplify right side
    9,164.80x = 65,593,539.84
  5. Step 5: Solve for x
    x = 65,593,539.84/9,164.80
  6. Step 6: Final answer
    x = 7,157.12

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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.