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Finding the Fourth Proportional to 21,607, 32,410.50 and 5,191

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Solution

The fourth proportional to 21,607, 32,410.50 and 5,191 is: 7,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607 : 32,410.50 = 5,191 : x
  2. Step 2: Convert to fraction form
    21,607/32,410.50 = 5,191/x
  3. Step 3: Cross multiply
    21,607x = 32,410.50 × 5,191
  4. Step 4: Simplify right side
    21,607x = 168,242,905.50
  5. Step 5: Solve for x
    x = 168,242,905.50/21,607
  6. Step 6: Final answer
    x = 7,786.50

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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.