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Finding the Fourth Proportional to 8,585.84, 11,847.48 and 4,808.72

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Solution

The fourth proportional to 8,585.84, 11,847.48 and 4,808.72 is: 6,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.84 : 11,847.48 = 4,808.72 : x
  2. Step 2: Convert to fraction form
    8,585.84/11,847.48 = 4,808.72/x
  3. Step 3: Cross multiply
    8,585.84x = 11,847.48 × 4,808.72
  4. Step 4: Simplify right side
    8,585.84x = 56,971,214.03
  5. Step 5: Solve for x
    x = 56,971,214.03/8,585.84
  6. Step 6: Final answer
    x = 6,635.49

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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.