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Finding the Fourth Proportional to 13,103, 19,649.70 and 4,335.32

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Solution

The fourth proportional to 13,103, 19,649.70 and 4,335.32 is: 6,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103 : 19,649.70 = 4,335.32 : x
  2. Step 2: Convert to fraction form
    13,103/19,649.70 = 4,335.32/x
  3. Step 3: Cross multiply
    13,103x = 19,649.70 × 4,335.32
  4. Step 4: Simplify right side
    13,103x = 85,187,737.40
  5. Step 5: Solve for x
    x = 85,187,737.40/13,103
  6. Step 6: Final answer
    x = 6,501.39

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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.