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Finding the Fourth Proportional to 14,129.38, 19,498.62 and 7,841.77

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Solution

The fourth proportional to 14,129.38, 19,498.62 and 7,841.77 is: 10,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.38 : 19,498.62 = 7,841.77 : x
  2. Step 2: Convert to fraction form
    14,129.38/19,498.62 = 7,841.77/x
  3. Step 3: Cross multiply
    14,129.38x = 19,498.62 × 7,841.77
  4. Step 4: Simplify right side
    14,129.38x = 152,903,693.36
  5. Step 5: Solve for x
    x = 152,903,693.36/14,129.38
  6. Step 6: Final answer
    x = 10,821.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.