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Finding the Fourth Proportional to 13,978.77, 20,968.32 and 5,547.34

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Solution

The fourth proportional to 13,978.77, 20,968.32 and 5,547.34 is: 8,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.77 : 20,968.32 = 5,547.34 : x
  2. Step 2: Convert to fraction form
    13,978.77/20,968.32 = 5,547.34/x
  3. Step 3: Cross multiply
    13,978.77x = 20,968.32 × 5,547.34
  4. Step 4: Simplify right side
    13,978.77x = 116,318,400.27
  5. Step 5: Solve for x
    x = 116,318,400.27/13,978.77
  6. Step 6: Final answer
    x = 8,321.08

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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.