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Finding the Fourth Proportional to 10,103.40, 13,941.05 and 5,626.13

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Solution

The fourth proportional to 10,103.40, 13,941.05 and 5,626.13 is: 7,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.40 : 13,941.05 = 5,626.13 : x
  2. Step 2: Convert to fraction form
    10,103.40/13,941.05 = 5,626.13/x
  3. Step 3: Cross multiply
    10,103.40x = 13,941.05 × 5,626.13
  4. Step 4: Simplify right side
    10,103.40x = 78,434,061.80
  5. Step 5: Solve for x
    x = 78,434,061.80/10,103.40
  6. Step 6: Final answer
    x = 7,763.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.