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Finding the Fourth Proportional to 8,288.95, 12,495.49 and 7,738.96

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Solution

The fourth proportional to 8,288.95, 12,495.49 and 7,738.96 is: 11,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.95 : 12,495.49 = 7,738.96 : x
  2. Step 2: Convert to fraction form
    8,288.95/12,495.49 = 7,738.96/x
  3. Step 3: Cross multiply
    8,288.95x = 12,495.49 × 7,738.96
  4. Step 4: Simplify right side
    8,288.95x = 96,702,097.29
  5. Step 5: Solve for x
    x = 96,702,097.29/8,288.95
  6. Step 6: Final answer
    x = 11,666.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.