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Finding the Fourth Proportional to 14,098.29, 19,455.66 and 7,810.71

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Solution

The fourth proportional to 14,098.29, 19,455.66 and 7,810.71 is: 10,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.29 : 19,455.66 = 7,810.71 : x
  2. Step 2: Convert to fraction form
    14,098.29/19,455.66 = 7,810.71/x
  3. Step 3: Cross multiply
    14,098.29x = 19,455.66 × 7,810.71
  4. Step 4: Simplify right side
    14,098.29x = 151,962,518.12
  5. Step 5: Solve for x
    x = 151,962,518.12/14,098.29
  6. Step 6: Final answer
    x = 10,778.79

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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.