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Finding the Fourth Proportional to 8,813.58, 13,229.28 and 7,780.29

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Solution

The fourth proportional to 8,813.58, 13,229.28 and 7,780.29 is: 11,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.58 : 13,229.28 = 7,780.29 : x
  2. Step 2: Convert to fraction form
    8,813.58/13,229.28 = 7,780.29/x
  3. Step 3: Cross multiply
    8,813.58x = 13,229.28 × 7,780.29
  4. Step 4: Simplify right side
    8,813.58x = 102,927,634.89
  5. Step 5: Solve for x
    x = 102,927,634.89/8,813.58
  6. Step 6: Final answer
    x = 11,678.30

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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.