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Finding the Fourth Proportional to 14,157.74, 19,532.36 and 8,777.72

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Solution

The fourth proportional to 14,157.74, 19,532.36 and 8,777.72 is: 12,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.74 : 19,532.36 = 8,777.72 : x
  2. Step 2: Convert to fraction form
    14,157.74/19,532.36 = 8,777.72/x
  3. Step 3: Cross multiply
    14,157.74x = 19,532.36 × 8,777.72
  4. Step 4: Simplify right side
    14,157.74x = 171,449,587.02
  5. Step 5: Solve for x
    x = 171,449,587.02/14,157.74
  6. Step 6: Final answer
    x = 12,109.95

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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.