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Finding the Fourth Proportional to 14,376.69, 19,840.28 and 7,828.62

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Solution

The fourth proportional to 14,376.69, 19,840.28 and 7,828.62 is: 10,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.69 : 19,840.28 = 7,828.62 : x
  2. Step 2: Convert to fraction form
    14,376.69/19,840.28 = 7,828.62/x
  3. Step 3: Cross multiply
    14,376.69x = 19,840.28 × 7,828.62
  4. Step 4: Simplify right side
    14,376.69x = 155,322,010.87
  5. Step 5: Solve for x
    x = 155,322,010.87/14,376.69
  6. Step 6: Final answer
    x = 10,803.74

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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.