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Finding the Fourth Proportional to 23,688.60, 32,690.06 and 13,078

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Solution

The fourth proportional to 23,688.60, 32,690.06 and 13,078 is: 18,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.60 : 32,690.06 = 13,078 : x
  2. Step 2: Convert to fraction form
    23,688.60/32,690.06 = 13,078/x
  3. Step 3: Cross multiply
    23,688.60x = 32,690.06 × 13,078
  4. Step 4: Simplify right side
    23,688.60x = 427,520,604.68
  5. Step 5: Solve for x
    x = 427,520,604.68/23,688.60
  6. Step 6: Final answer
    x = 18,047.53

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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.