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Finding the Fourth Proportional to 14,389.48, 19,857 and 8,101.72

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Solution

The fourth proportional to 14,389.48, 19,857 and 8,101.72 is: 11,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.48 : 19,857 = 8,101.72 : x
  2. Step 2: Convert to fraction form
    14,389.48/19,857 = 8,101.72/x
  3. Step 3: Cross multiply
    14,389.48x = 19,857 × 8,101.72
  4. Step 4: Simplify right side
    14,389.48x = 160,875,854.04
  5. Step 5: Solve for x
    x = 160,875,854.04/14,389.48
  6. Step 6: Final answer
    x = 11,180.10

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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.