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Finding the Fourth Proportional to 12,460.30, 18,701.39 and 6,919.90

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Solution

The fourth proportional to 12,460.30, 18,701.39 and 6,919.90 is: 10,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.30 : 18,701.39 = 6,919.90 : x
  2. Step 2: Convert to fraction form
    12,460.30/18,701.39 = 6,919.90/x
  3. Step 3: Cross multiply
    12,460.30x = 18,701.39 × 6,919.90
  4. Step 4: Simplify right side
    12,460.30x = 129,411,748.66
  5. Step 5: Solve for x
    x = 129,411,748.66/12,460.30
  6. Step 6: Final answer
    x = 10,385.93

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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.