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Finding the Fourth Proportional to 29,710, 40,999.80 and 16,462

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Solution

The fourth proportional to 29,710, 40,999.80 and 16,462 is: 22,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710 : 40,999.80 = 16,462 : x
  2. Step 2: Convert to fraction form
    29,710/40,999.80 = 16,462/x
  3. Step 3: Cross multiply
    29,710x = 40,999.80 × 16,462
  4. Step 4: Simplify right side
    29,710x = 674,938,707.60
  5. Step 5: Solve for x
    x = 674,938,707.60/29,710
  6. Step 6: Final answer
    x = 22,717.56

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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.