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Finding the Fourth Proportional to 7,448.34, 11,149.40 and 6,899.16

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Solution

The fourth proportional to 7,448.34, 11,149.40 and 6,899.16 is: 10,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.34 : 11,149.40 = 6,899.16 : x
  2. Step 2: Convert to fraction form
    7,448.34/11,149.40 = 6,899.16/x
  3. Step 3: Cross multiply
    7,448.34x = 11,149.40 × 6,899.16
  4. Step 4: Simplify right side
    7,448.34x = 76,921,494.50
  5. Step 5: Solve for x
    x = 76,921,494.50/7,448.34
  6. Step 6: Final answer
    x = 10,327.33

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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.