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Finding the Fourth Proportional to 21,653, 29,894.92 and 17,683.60

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Solution

The fourth proportional to 21,653, 29,894.92 and 17,683.60 is: 24,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653 : 29,894.92 = 17,683.60 : x
  2. Step 2: Convert to fraction form
    21,653/29,894.92 = 17,683.60/x
  3. Step 3: Cross multiply
    21,653x = 29,894.92 × 17,683.60
  4. Step 4: Simplify right side
    21,653x = 528,649,807.31
  5. Step 5: Solve for x
    x = 528,649,807.31/21,653
  6. Step 6: Final answer
    x = 24,414.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.