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Finding the Fourth Proportional to 30,651.75, 45,977.56 and 8,465.06

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Solution

The fourth proportional to 30,651.75, 45,977.56 and 8,465.06 is: 12,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.75 : 45,977.56 = 8,465.06 : x
  2. Step 2: Convert to fraction form
    30,651.75/45,977.56 = 8,465.06/x
  3. Step 3: Cross multiply
    30,651.75x = 45,977.56 × 8,465.06
  4. Step 4: Simplify right side
    30,651.75x = 389,202,804.05
  5. Step 5: Solve for x
    x = 389,202,804.05/30,651.75
  6. Step 6: Final answer
    x = 12,697.57

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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.