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Finding the Fourth Proportional to 13,670.64, 18,866.64 and 7,702

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Solution

The fourth proportional to 13,670.64, 18,866.64 and 7,702 is: 10,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.64 : 18,866.64 = 7,702 : x
  2. Step 2: Convert to fraction form
    13,670.64/18,866.64 = 7,702/x
  3. Step 3: Cross multiply
    13,670.64x = 18,866.64 × 7,702
  4. Step 4: Simplify right side
    13,670.64x = 145,310,861.28
  5. Step 5: Solve for x
    x = 145,310,861.28/13,670.64
  6. Step 6: Final answer
    x = 10,629.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.