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Finding the Fourth Proportional to 12,101.54, 16,705.76 and 8,075.07

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Solution

The fourth proportional to 12,101.54, 16,705.76 and 8,075.07 is: 11,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.54 : 16,705.76 = 8,075.07 : x
  2. Step 2: Convert to fraction form
    12,101.54/16,705.76 = 8,075.07/x
  3. Step 3: Cross multiply
    12,101.54x = 16,705.76 × 8,075.07
  4. Step 4: Simplify right side
    12,101.54x = 134,900,141.03
  5. Step 5: Solve for x
    x = 134,900,141.03/12,101.54
  6. Step 6: Final answer
    x = 11,147.36

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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.