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Finding the Fourth Proportional to 9,230.88, 13,823.28 and 7,698.72

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Solution

The fourth proportional to 9,230.88, 13,823.28 and 7,698.72 is: 11,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.88 : 13,823.28 = 7,698.72 : x
  2. Step 2: Convert to fraction form
    9,230.88/13,823.28 = 7,698.72/x
  3. Step 3: Cross multiply
    9,230.88x = 13,823.28 × 7,698.72
  4. Step 4: Simplify right side
    9,230.88x = 106,421,562.20
  5. Step 5: Solve for x
    x = 106,421,562.20/9,230.88
  6. Step 6: Final answer
    x = 11,528.86

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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.