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Finding the Fourth Proportional to 21,458, 32,188.08 and 7,608.08

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Solution

The fourth proportional to 21,458, 32,188.08 and 7,608.08 is: 11,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458 : 32,188.08 = 7,608.08 : x
  2. Step 2: Convert to fraction form
    21,458/32,188.08 = 7,608.08/x
  3. Step 3: Cross multiply
    21,458x = 32,188.08 × 7,608.08
  4. Step 4: Simplify right side
    21,458x = 244,889,487.69
  5. Step 5: Solve for x
    x = 244,889,487.69/21,458
  6. Step 6: Final answer
    x = 11,412.50

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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.