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Finding the Fourth Proportional to 30,564.95, 45,847.49 and 8,378.64

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Solution

The fourth proportional to 30,564.95, 45,847.49 and 8,378.64 is: 12,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.95 : 45,847.49 = 8,378.64 : x
  2. Step 2: Convert to fraction form
    30,564.95/45,847.49 = 8,378.64/x
  3. Step 3: Cross multiply
    30,564.95x = 45,847.49 × 8,378.64
  4. Step 4: Simplify right side
    30,564.95x = 384,139,571.72
  5. Step 5: Solve for x
    x = 384,139,571.72/30,564.95
  6. Step 6: Final answer
    x = 12,567.98

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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.