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Finding the Fourth Proportional to 21,643.61, 32,479.99 and 9,800.60

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Solution

The fourth proportional to 21,643.61, 32,479.99 and 9,800.60 is: 14,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.61 : 32,479.99 = 9,800.60 : x
  2. Step 2: Convert to fraction form
    21,643.61/32,479.99 = 9,800.60/x
  3. Step 3: Cross multiply
    21,643.61x = 32,479.99 × 9,800.60
  4. Step 4: Simplify right side
    21,643.61x = 318,323,203.09
  5. Step 5: Solve for x
    x = 318,323,203.09/21,643.61
  6. Step 6: Final answer
    x = 14,707.49

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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.