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Finding the Fourth Proportional to 14,122.69, 19,490.22 and 7,835.06

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Solution

The fourth proportional to 14,122.69, 19,490.22 and 7,835.06 is: 10,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.69 : 19,490.22 = 7,835.06 : x
  2. Step 2: Convert to fraction form
    14,122.69/19,490.22 = 7,835.06/x
  3. Step 3: Cross multiply
    14,122.69x = 19,490.22 × 7,835.06
  4. Step 4: Simplify right side
    14,122.69x = 152,707,091.84
  5. Step 5: Solve for x
    x = 152,707,091.84/14,122.69
  6. Step 6: Final answer
    x = 10,812.89

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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.