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Finding the Fourth Proportional to 21,784.65, 32,681.21 and 6,992.43

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Solution

The fourth proportional to 21,784.65, 32,681.21 and 6,992.43 is: 10,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.65 : 32,681.21 = 6,992.43 : x
  2. Step 2: Convert to fraction form
    21,784.65/32,681.21 = 6,992.43/x
  3. Step 3: Cross multiply
    21,784.65x = 32,681.21 × 6,992.43
  4. Step 4: Simplify right side
    21,784.65x = 228,521,073.24
  5. Step 5: Solve for x
    x = 228,521,073.24/21,784.65
  6. Step 6: Final answer
    x = 10,490.00

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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.