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Finding the Fourth Proportional to 12,020.32, 18,007.92 and 7,075.12

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Solution

The fourth proportional to 12,020.32, 18,007.92 and 7,075.12 is: 10,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.32 : 18,007.92 = 7,075.12 : x
  2. Step 2: Convert to fraction form
    12,020.32/18,007.92 = 7,075.12/x
  3. Step 3: Cross multiply
    12,020.32x = 18,007.92 × 7,075.12
  4. Step 4: Simplify right side
    12,020.32x = 127,408,194.95
  5. Step 5: Solve for x
    x = 127,408,194.95/12,020.32
  6. Step 6: Final answer
    x = 10,599.40

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1.5x scale

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.