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Finding the Fourth Proportional to 21,075.78, 29,083.14 and 11,644.68

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Solution

The fourth proportional to 21,075.78, 29,083.14 and 11,644.68 is: 16,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.78 : 29,083.14 = 11,644.68 : x
  2. Step 2: Convert to fraction form
    21,075.78/29,083.14 = 11,644.68/x
  3. Step 3: Cross multiply
    21,075.78x = 29,083.14 × 11,644.68
  4. Step 4: Simplify right side
    21,075.78x = 338,663,858.70
  5. Step 5: Solve for x
    x = 338,663,858.70/21,075.78
  6. Step 6: Final answer
    x = 16,068.86

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1.5x scale

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.