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Finding the Fourth Proportional to 14,108.50, 19,471.80 and 8,139

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Solution

The fourth proportional to 14,108.50, 19,471.80 and 8,139 is: 11,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.50 : 19,471.80 = 8,139 : x
  2. Step 2: Convert to fraction form
    14,108.50/19,471.80 = 8,139/x
  3. Step 3: Cross multiply
    14,108.50x = 19,471.80 × 8,139
  4. Step 4: Simplify right side
    14,108.50x = 158,480,980.20
  5. Step 5: Solve for x
    x = 158,480,980.20/14,108.50
  6. Step 6: Final answer
    x = 11,233.01

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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.