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Finding the Fourth Proportional to 34,782.75, 48,000.21 and 19,878.75

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Solution

The fourth proportional to 34,782.75, 48,000.21 and 19,878.75 is: 27,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.75 : 48,000.21 = 19,878.75 : x
  2. Step 2: Convert to fraction form
    34,782.75/48,000.21 = 19,878.75/x
  3. Step 3: Cross multiply
    34,782.75x = 48,000.21 × 19,878.75
  4. Step 4: Simplify right side
    34,782.75x = 954,184,174.54
  5. Step 5: Solve for x
    x = 954,184,174.54/34,782.75
  6. Step 6: Final answer
    x = 27,432.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.