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Finding the Fourth Proportional to 21,301.68, 31,966.74 and 7,450.68

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Solution

The fourth proportional to 21,301.68, 31,966.74 and 7,450.68 is: 11,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.68 : 31,966.74 = 7,450.68 : x
  2. Step 2: Convert to fraction form
    21,301.68/31,966.74 = 7,450.68/x
  3. Step 3: Cross multiply
    21,301.68x = 31,966.74 × 7,450.68
  4. Step 4: Simplify right side
    21,301.68x = 238,173,950.38
  5. Step 5: Solve for x
    x = 238,173,950.38/21,301.68
  6. Step 6: Final answer
    x = 11,180.99

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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.