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Finding the Fourth Proportional to 13,123, 19,690.30 and 6,881.52

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Solution

The fourth proportional to 13,123, 19,690.30 and 6,881.52 is: 10,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123 : 19,690.30 = 6,881.52 : x
  2. Step 2: Convert to fraction form
    13,123/19,690.30 = 6,881.52/x
  3. Step 3: Cross multiply
    13,123x = 19,690.30 × 6,881.52
  4. Step 4: Simplify right side
    13,123x = 135,499,193.26
  5. Step 5: Solve for x
    x = 135,499,193.26/13,123
  6. Step 6: Final answer
    x = 10,325.32

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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.