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Finding the Fourth Proportional to 13,886, 20,830.08 and 4,652

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Solution

The fourth proportional to 13,886, 20,830.08 and 4,652 is: 6,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 20,830.08 = 4,652 : x
  2. Step 2: Convert to fraction form
    13,886/20,830.08 = 4,652/x
  3. Step 3: Cross multiply
    13,886x = 20,830.08 × 4,652
  4. Step 4: Simplify right side
    13,886x = 96,901,532.16
  5. Step 5: Solve for x
    x = 96,901,532.16/13,886
  6. Step 6: Final answer
    x = 6,978.36

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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.