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Finding the Fourth Proportional to 21,064, 29,076.80 and 14,356.41

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Solution

The fourth proportional to 21,064, 29,076.80 and 14,356.41 is: 19,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064 : 29,076.80 = 14,356.41 : x
  2. Step 2: Convert to fraction form
    21,064/29,076.80 = 14,356.41/x
  3. Step 3: Cross multiply
    21,064x = 29,076.80 × 14,356.41
  4. Step 4: Simplify right side
    21,064x = 417,438,316.90
  5. Step 5: Solve for x
    x = 417,438,316.90/21,064
  6. Step 6: Final answer
    x = 19,817.62

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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.