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Finding the Fourth Proportional to 13,282.53, 19,890.90 and 7,719

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Solution

The fourth proportional to 13,282.53, 19,890.90 and 7,719 is: 11,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.53 : 19,890.90 = 7,719 : x
  2. Step 2: Convert to fraction form
    13,282.53/19,890.90 = 7,719/x
  3. Step 3: Cross multiply
    13,282.53x = 19,890.90 × 7,719
  4. Step 4: Simplify right side
    13,282.53x = 153,537,857.10
  5. Step 5: Solve for x
    x = 153,537,857.10/13,282.53
  6. Step 6: Final answer
    x = 11,559.38

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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.