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Finding the Fourth Proportional to 10,010.90, 13,812.99 and 6,031.10

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Solution

The fourth proportional to 10,010.90, 13,812.99 and 6,031.10 is: 8,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.90 : 13,812.99 = 6,031.10 : x
  2. Step 2: Convert to fraction form
    10,010.90/13,812.99 = 6,031.10/x
  3. Step 3: Cross multiply
    10,010.90x = 13,812.99 × 6,031.10
  4. Step 4: Simplify right side
    10,010.90x = 83,307,523.99
  5. Step 5: Solve for x
    x = 83,307,523.99/10,010.90
  6. Step 6: Final answer
    x = 8,321.68

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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.