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Finding the Fourth Proportional to 8,447.96, 11,653.20 and 5,298.68

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Solution

The fourth proportional to 8,447.96, 11,653.20 and 5,298.68 is: 7,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.96 : 11,653.20 = 5,298.68 : x
  2. Step 2: Convert to fraction form
    8,447.96/11,653.20 = 5,298.68/x
  3. Step 3: Cross multiply
    8,447.96x = 11,653.20 × 5,298.68
  4. Step 4: Simplify right side
    8,447.96x = 61,746,577.78
  5. Step 5: Solve for x
    x = 61,746,577.78/8,447.96
  6. Step 6: Final answer
    x = 7,309.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.