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Finding the Fourth Proportional to 8,875.67, 13,322.70 and 6,538.29

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Solution

The fourth proportional to 8,875.67, 13,322.70 and 6,538.29 is: 9,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.67 : 13,322.70 = 6,538.29 : x
  2. Step 2: Convert to fraction form
    8,875.67/13,322.70 = 6,538.29/x
  3. Step 3: Cross multiply
    8,875.67x = 13,322.70 × 6,538.29
  4. Step 4: Simplify right side
    8,875.67x = 87,107,676.18
  5. Step 5: Solve for x
    x = 87,107,676.18/8,875.67
  6. Step 6: Final answer
    x = 9,814.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.