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Finding the Fourth Proportional to 13,027.51, 19,541.63 and 8,111.35

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Solution

The fourth proportional to 13,027.51, 19,541.63 and 8,111.35 is: 12,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.51 : 19,541.63 = 8,111.35 : x
  2. Step 2: Convert to fraction form
    13,027.51/19,541.63 = 8,111.35/x
  3. Step 3: Cross multiply
    13,027.51x = 19,541.63 × 8,111.35
  4. Step 4: Simplify right side
    13,027.51x = 158,509,000.50
  5. Step 5: Solve for x
    x = 158,509,000.50/13,027.51
  6. Step 6: Final answer
    x = 12,167.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.