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Finding the Fourth Proportional to 30,642.87, 45,941.52 and 12,878.75

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Solution

The fourth proportional to 30,642.87, 45,941.52 and 12,878.75 is: 19,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.87 : 45,941.52 = 12,878.75 : x
  2. Step 2: Convert to fraction form
    30,642.87/45,941.52 = 12,878.75/x
  3. Step 3: Cross multiply
    30,642.87x = 45,941.52 × 12,878.75
  4. Step 4: Simplify right side
    30,642.87x = 591,669,120.99
  5. Step 5: Solve for x
    x = 591,669,120.99/30,642.87
  6. Step 6: Final answer
    x = 19,308.54

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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.