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Finding the Fourth Proportional to 14,127.40, 19,495.74 and 7,839.76

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Solution

The fourth proportional to 14,127.40, 19,495.74 and 7,839.76 is: 10,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.40 : 19,495.74 = 7,839.76 : x
  2. Step 2: Convert to fraction form
    14,127.40/19,495.74 = 7,839.76/x
  3. Step 3: Cross multiply
    14,127.40x = 19,495.74 × 7,839.76
  4. Step 4: Simplify right side
    14,127.40x = 152,841,922.62
  5. Step 5: Solve for x
    x = 152,841,922.62/14,127.40
  6. Step 6: Final answer
    x = 10,818.83

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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.