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Finding the Fourth Proportional to 20,952, 28,907.28 and 13,882.32

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Solution

The fourth proportional to 20,952, 28,907.28 and 13,882.32 is: 19,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952 : 28,907.28 = 13,882.32 : x
  2. Step 2: Convert to fraction form
    20,952/28,907.28 = 13,882.32/x
  3. Step 3: Cross multiply
    20,952x = 28,907.28 × 13,882.32
  4. Step 4: Simplify right side
    20,952x = 401,300,111.29
  5. Step 5: Solve for x
    x = 401,300,111.29/20,952
  6. Step 6: Final answer
    x = 19,153.31

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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.