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Finding the Fourth Proportional to 7,447.48, 11,169.48 and 2,181.32

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Solution

The fourth proportional to 7,447.48, 11,169.48 and 2,181.32 is: 3,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.48 : 11,169.48 = 2,181.32 : x
  2. Step 2: Convert to fraction form
    7,447.48/11,169.48 = 2,181.32/x
  3. Step 3: Cross multiply
    7,447.48x = 11,169.48 × 2,181.32
  4. Step 4: Simplify right side
    7,447.48x = 24,364,210.11
  5. Step 5: Solve for x
    x = 24,364,210.11/7,447.48
  6. Step 6: Final answer
    x = 3,271.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.