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Finding the Fourth Proportional to 11,622.88, 16,045.52 and 8,964.32

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Solution

The fourth proportional to 11,622.88, 16,045.52 and 8,964.32 is: 12,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.88 : 16,045.52 = 8,964.32 : x
  2. Step 2: Convert to fraction form
    11,622.88/16,045.52 = 8,964.32/x
  3. Step 3: Cross multiply
    11,622.88x = 16,045.52 × 8,964.32
  4. Step 4: Simplify right side
    11,622.88x = 143,837,175.85
  5. Step 5: Solve for x
    x = 143,837,175.85/11,622.88
  6. Step 6: Final answer
    x = 12,375.35

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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.