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Finding the Fourth Proportional to 13,328, 19,970.11 and 4,558.13

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Solution

The fourth proportional to 13,328, 19,970.11 and 4,558.13 is: 6,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328 : 19,970.11 = 4,558.13 : x
  2. Step 2: Convert to fraction form
    13,328/19,970.11 = 4,558.13/x
  3. Step 3: Cross multiply
    13,328x = 19,970.11 × 4,558.13
  4. Step 4: Simplify right side
    13,328x = 91,026,357.49
  5. Step 5: Solve for x
    x = 91,026,357.49/13,328
  6. Step 6: Final answer
    x = 6,829.71

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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.