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Finding the Fourth Proportional to 14,410.98, 19,887.12 and 8,123.31

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Solution

The fourth proportional to 14,410.98, 19,887.12 and 8,123.31 is: 11,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.98 : 19,887.12 = 8,123.31 : x
  2. Step 2: Convert to fraction form
    14,410.98/19,887.12 = 8,123.31/x
  3. Step 3: Cross multiply
    14,410.98x = 19,887.12 × 8,123.31
  4. Step 4: Simplify right side
    14,410.98x = 161,549,240.77
  5. Step 5: Solve for x
    x = 161,549,240.77/14,410.98
  6. Step 6: Final answer
    x = 11,210.15

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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.