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Finding the Fourth Proportional to 20,866.58, 31,305 and 6,075.63

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Solution

The fourth proportional to 20,866.58, 31,305 and 6,075.63 is: 9,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.58 : 31,305 = 6,075.63 : x
  2. Step 2: Convert to fraction form
    20,866.58/31,305 = 6,075.63/x
  3. Step 3: Cross multiply
    20,866.58x = 31,305 × 6,075.63
  4. Step 4: Simplify right side
    20,866.58x = 190,197,675.41
  5. Step 5: Solve for x
    x = 190,197,675.41/20,866.58
  6. Step 6: Final answer
    x = 9,114.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.