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Finding the Fourth Proportional to 21,175.14, 31,762.16 and 5,592.90

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Solution

The fourth proportional to 21,175.14, 31,762.16 and 5,592.90 is: 8,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.14 : 31,762.16 = 5,592.90 : x
  2. Step 2: Convert to fraction form
    21,175.14/31,762.16 = 5,592.90/x
  3. Step 3: Cross multiply
    21,175.14x = 31,762.16 × 5,592.90
  4. Step 4: Simplify right side
    21,175.14x = 177,642,584.66
  5. Step 5: Solve for x
    x = 177,642,584.66/21,175.14
  6. Step 6: Final answer
    x = 8,389.20

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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.