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Finding the Fourth Proportional to 21,984.35, 32,978.00 and 8,835.08

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Solution

The fourth proportional to 21,984.35, 32,978.00 and 8,835.08 is: 13,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.35 : 32,978.00 = 8,835.08 : x
  2. Step 2: Convert to fraction form
    21,984.35/32,978.00 = 8,835.08/x
  3. Step 3: Cross multiply
    21,984.35x = 32,978.00 × 8,835.08
  4. Step 4: Simplify right side
    21,984.35x = 291,363,125.44
  5. Step 5: Solve for x
    x = 291,363,125.44/21,984.35
  6. Step 6: Final answer
    x = 13,253.21

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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.