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Finding the Fourth Proportional to 9,187.56, 12,678.32 and 5,208.44

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Solution

The fourth proportional to 9,187.56, 12,678.32 and 5,208.44 is: 7,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.56 : 12,678.32 = 5,208.44 : x
  2. Step 2: Convert to fraction form
    9,187.56/12,678.32 = 5,208.44/x
  3. Step 3: Cross multiply
    9,187.56x = 12,678.32 × 5,208.44
  4. Step 4: Simplify right side
    9,187.56x = 66,034,218.65
  5. Step 5: Solve for x
    x = 66,034,218.65/9,187.56
  6. Step 6: Final answer
    x = 7,187.35

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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.