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Finding the Fourth Proportional to 13,030.76, 19,500 and 8,102.72

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Solution

The fourth proportional to 13,030.76, 19,500 and 8,102.72 is: 12,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.76 : 19,500 = 8,102.72 : x
  2. Step 2: Convert to fraction form
    13,030.76/19,500 = 8,102.72/x
  3. Step 3: Cross multiply
    13,030.76x = 19,500 × 8,102.72
  4. Step 4: Simplify right side
    13,030.76x = 158,003,040
  5. Step 5: Solve for x
    x = 158,003,040/13,030.76
  6. Step 6: Final answer
    x = 12,125.39

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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.