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Finding the Fourth Proportional to 9,031.32, 13,525.97 and 8,782.20

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Solution

The fourth proportional to 9,031.32, 13,525.97 and 8,782.20 is: 13,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.32 : 13,525.97 = 8,782.20 : x
  2. Step 2: Convert to fraction form
    9,031.32/13,525.97 = 8,782.20/x
  3. Step 3: Cross multiply
    9,031.32x = 13,525.97 × 8,782.20
  4. Step 4: Simplify right side
    9,031.32x = 118,787,729.82
  5. Step 5: Solve for x
    x = 118,787,729.82/9,031.32
  6. Step 6: Final answer
    x = 13,152.86

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