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Finding the Fourth Proportional to 21,646, 29,871.48 and 11,710

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Solution

The fourth proportional to 21,646, 29,871.48 and 11,710 is: 16,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646 : 29,871.48 = 11,710 : x
  2. Step 2: Convert to fraction form
    21,646/29,871.48 = 11,710/x
  3. Step 3: Cross multiply
    21,646x = 29,871.48 × 11,710
  4. Step 4: Simplify right side
    21,646x = 349,795,030.80
  5. Step 5: Solve for x
    x = 349,795,030.80/21,646
  6. Step 6: Final answer
    x = 16,159.80

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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.