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Finding the Fourth Proportional to 8,528.40, 11,764.98 and 7,347.42

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Solution

The fourth proportional to 8,528.40, 11,764.98 and 7,347.42 is: 10,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.40 : 11,764.98 = 7,347.42 : x
  2. Step 2: Convert to fraction form
    8,528.40/11,764.98 = 7,347.42/x
  3. Step 3: Cross multiply
    8,528.40x = 11,764.98 × 7,347.42
  4. Step 4: Simplify right side
    8,528.40x = 86,442,249.35
  5. Step 5: Solve for x
    x = 86,442,249.35/8,528.40
  6. Step 6: Final answer
    x = 10,135.81

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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.