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Finding the Fourth Proportional to 14,129.16, 19,498.50 and 7,841.88

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Solution

The fourth proportional to 14,129.16, 19,498.50 and 7,841.88 is: 10,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.16 : 19,498.50 = 7,841.88 : x
  2. Step 2: Convert to fraction form
    14,129.16/19,498.50 = 7,841.88/x
  3. Step 3: Cross multiply
    14,129.16x = 19,498.50 × 7,841.88
  4. Step 4: Simplify right side
    14,129.16x = 152,904,897.18
  5. Step 5: Solve for x
    x = 152,904,897.18/14,129.16
  6. Step 6: Final answer
    x = 10,821.94

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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.