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Finding the Fourth Proportional to 11,788.32, 16,268.88 and 6,484.20

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Solution

The fourth proportional to 11,788.32, 16,268.88 and 6,484.20 is: 8,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.32 : 16,268.88 = 6,484.20 : x
  2. Step 2: Convert to fraction form
    11,788.32/16,268.88 = 6,484.20/x
  3. Step 3: Cross multiply
    11,788.32x = 16,268.88 × 6,484.20
  4. Step 4: Simplify right side
    11,788.32x = 105,490,671.70
  5. Step 5: Solve for x
    x = 105,490,671.70/11,788.32
  6. Step 6: Final answer
    x = 8,948.75

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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.