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Finding the Fourth Proportional to 21,316.34, 31,978.16 and 6,523.72

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Solution

The fourth proportional to 21,316.34, 31,978.16 and 6,523.72 is: 9,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.34 : 31,978.16 = 6,523.72 : x
  2. Step 2: Convert to fraction form
    21,316.34/31,978.16 = 6,523.72/x
  3. Step 3: Cross multiply
    21,316.34x = 31,978.16 × 6,523.72
  4. Step 4: Simplify right side
    21,316.34x = 208,616,561.96
  5. Step 5: Solve for x
    x = 208,616,561.96/21,316.34
  6. Step 6: Final answer
    x = 9,786.70

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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.