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Finding the Fourth Proportional to 13,772.58, 19,006.29 and 8,182.50

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Solution

The fourth proportional to 13,772.58, 19,006.29 and 8,182.50 is: 11,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.58 : 19,006.29 = 8,182.50 : x
  2. Step 2: Convert to fraction form
    13,772.58/19,006.29 = 8,182.50/x
  3. Step 3: Cross multiply
    13,772.58x = 19,006.29 × 8,182.50
  4. Step 4: Simplify right side
    13,772.58x = 155,518,967.93
  5. Step 5: Solve for x
    x = 155,518,967.93/13,772.58
  6. Step 6: Final answer
    x = 11,291.93

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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.