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Finding the Fourth Proportional to 10,669.90, 14,728.56 and 8,024.98

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Solution

The fourth proportional to 10,669.90, 14,728.56 and 8,024.98 is: 11,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.90 : 14,728.56 = 8,024.98 : x
  2. Step 2: Convert to fraction form
    10,669.90/14,728.56 = 8,024.98/x
  3. Step 3: Cross multiply
    10,669.90x = 14,728.56 × 8,024.98
  4. Step 4: Simplify right side
    10,669.90x = 118,196,399.43
  5. Step 5: Solve for x
    x = 118,196,399.43/10,669.90
  6. Step 6: Final answer
    x = 11,077.55

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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.