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Finding the Fourth Proportional to 13,681.44, 20,522.57 and 9,031.23

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Solution

The fourth proportional to 13,681.44, 20,522.57 and 9,031.23 is: 13,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.44 : 20,522.57 = 9,031.23 : x
  2. Step 2: Convert to fraction form
    13,681.44/20,522.57 = 9,031.23/x
  3. Step 3: Cross multiply
    13,681.44x = 20,522.57 × 9,031.23
  4. Step 4: Simplify right side
    13,681.44x = 185,344,004.70
  5. Step 5: Solve for x
    x = 185,344,004.70/13,681.44
  6. Step 6: Final answer
    x = 13,547.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.