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Finding the Fourth Proportional to 20,032.08, 27,646 and 11,648

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Solution

The fourth proportional to 20,032.08, 27,646 and 11,648 is: 16,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.08 : 27,646 = 11,648 : x
  2. Step 2: Convert to fraction form
    20,032.08/27,646 = 11,648/x
  3. Step 3: Cross multiply
    20,032.08x = 27,646 × 11,648
  4. Step 4: Simplify right side
    20,032.08x = 322,020,608
  5. Step 5: Solve for x
    x = 322,020,608/20,032.08
  6. Step 6: Final answer
    x = 16,075.25

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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.