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Finding the Fourth Proportional to 15,272, 21,075.36 and 8,648

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Solution

The fourth proportional to 15,272, 21,075.36 and 8,648 is: 11,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,272 : 21,075.36 = 8,648 : x
  2. Step 2: Convert to fraction form
    15,272/21,075.36 = 8,648/x
  3. Step 3: Cross multiply
    15,272x = 21,075.36 × 8,648
  4. Step 4: Simplify right side
    15,272x = 182,259,713.28
  5. Step 5: Solve for x
    x = 182,259,713.28/15,272
  6. Step 6: Final answer
    x = 11,934.24

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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.