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Finding the Fourth Proportional to 21,978.46, 32,967.32 and 6,985.52

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Solution

The fourth proportional to 21,978.46, 32,967.32 and 6,985.52 is: 10,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.46 : 32,967.32 = 6,985.52 : x
  2. Step 2: Convert to fraction form
    21,978.46/32,967.32 = 6,985.52/x
  3. Step 3: Cross multiply
    21,978.46x = 32,967.32 × 6,985.52
  4. Step 4: Simplify right side
    21,978.46x = 230,293,873.21
  5. Step 5: Solve for x
    x = 230,293,873.21/21,978.46
  6. Step 6: Final answer
    x = 10,478.16

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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.