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Finding the Fourth Proportional to 8,681.63, 13,023.05 and 3,487.50

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Solution

The fourth proportional to 8,681.63, 13,023.05 and 3,487.50 is: 5,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.63 : 13,023.05 = 3,487.50 : x
  2. Step 2: Convert to fraction form
    8,681.63/13,023.05 = 3,487.50/x
  3. Step 3: Cross multiply
    8,681.63x = 13,023.05 × 3,487.50
  4. Step 4: Simplify right side
    8,681.63x = 45,417,869.44
  5. Step 5: Solve for x
    x = 45,417,869.44/8,681.63
  6. Step 6: Final answer
    x = 5,231.49

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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.