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Finding the Fourth Proportional to 12,604.68, 18,907.74 and 9,647.28

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Solution

The fourth proportional to 12,604.68, 18,907.74 and 9,647.28 is: 14,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.68 : 18,907.74 = 9,647.28 : x
  2. Step 2: Convert to fraction form
    12,604.68/18,907.74 = 9,647.28/x
  3. Step 3: Cross multiply
    12,604.68x = 18,907.74 × 9,647.28
  4. Step 4: Simplify right side
    12,604.68x = 182,408,261.95
  5. Step 5: Solve for x
    x = 182,408,261.95/12,604.68
  6. Step 6: Final answer
    x = 14,471.47

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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.