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Finding the Fourth Proportional to 12,294.80, 18,437.93 and 7,607.64

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Solution

The fourth proportional to 12,294.80, 18,437.93 and 7,607.64 is: 11,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.80 : 18,437.93 = 7,607.64 : x
  2. Step 2: Convert to fraction form
    12,294.80/18,437.93 = 7,607.64/x
  3. Step 3: Cross multiply
    12,294.80x = 18,437.93 × 7,607.64
  4. Step 4: Simplify right side
    12,294.80x = 140,269,133.79
  5. Step 5: Solve for x
    x = 140,269,133.79/12,294.80
  6. Step 6: Final answer
    x = 11,408.82

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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.