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Finding the Fourth Proportional to 8,929.30, 12,322.49 and 5,152.63

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Solution

The fourth proportional to 8,929.30, 12,322.49 and 5,152.63 is: 7,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.30 : 12,322.49 = 5,152.63 : x
  2. Step 2: Convert to fraction form
    8,929.30/12,322.49 = 5,152.63/x
  3. Step 3: Cross multiply
    8,929.30x = 12,322.49 × 5,152.63
  4. Step 4: Simplify right side
    8,929.30x = 63,493,175.08
  5. Step 5: Solve for x
    x = 63,493,175.08/8,929.30
  6. Step 6: Final answer
    x = 7,110.65

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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.