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Finding the Fourth Proportional to 19,519, 29,215.64 and 12,861

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Solution

The fourth proportional to 19,519, 29,215.64 and 12,861 is: 19,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519 : 29,215.64 = 12,861 : x
  2. Step 2: Convert to fraction form
    19,519/29,215.64 = 12,861/x
  3. Step 3: Cross multiply
    19,519x = 29,215.64 × 12,861
  4. Step 4: Simplify right side
    19,519x = 375,742,346.04
  5. Step 5: Solve for x
    x = 375,742,346.04/19,519
  6. Step 6: Final answer
    x = 19,250.08

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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.