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Finding the Fourth Proportional to 9,187.98, 12,678.36 and 5,208.86

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Solution

The fourth proportional to 9,187.98, 12,678.36 and 5,208.86 is: 7,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.98 : 12,678.36 = 5,208.86 : x
  2. Step 2: Convert to fraction form
    9,187.98/12,678.36 = 5,208.86/x
  3. Step 3: Cross multiply
    9,187.98x = 12,678.36 × 5,208.86
  4. Step 4: Simplify right side
    9,187.98x = 66,039,738.88
  5. Step 5: Solve for x
    x = 66,039,738.88/9,187.98
  6. Step 6: Final answer
    x = 7,187.62

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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.