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Finding the Fourth Proportional to 8,670.60, 13,000.14 and 3,738.96

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Solution

The fourth proportional to 8,670.60, 13,000.14 and 3,738.96 is: 5,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.60 : 13,000.14 = 3,738.96 : x
  2. Step 2: Convert to fraction form
    8,670.60/13,000.14 = 3,738.96/x
  3. Step 3: Cross multiply
    8,670.60x = 13,000.14 × 3,738.96
  4. Step 4: Simplify right side
    8,670.60x = 48,607,003.45
  5. Step 5: Solve for x
    x = 48,607,003.45/8,670.60
  6. Step 6: Final answer
    x = 5,605.96

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Why These Related Problems?

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