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Finding the Fourth Proportional to 8,525.84, 11,742.89 and 7,408.04

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Solution

The fourth proportional to 8,525.84, 11,742.89 and 7,408.04 is: 10,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.84 : 11,742.89 = 7,408.04 : x
  2. Step 2: Convert to fraction form
    8,525.84/11,742.89 = 7,408.04/x
  3. Step 3: Cross multiply
    8,525.84x = 11,742.89 × 7,408.04
  4. Step 4: Simplify right side
    8,525.84x = 86,991,703.08
  5. Step 5: Solve for x
    x = 86,991,703.08/8,525.84
  6. Step 6: Final answer
    x = 10,203.31

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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.