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Finding the Fourth Proportional to 30,256.78, 41,750.07 and 16,828.30

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Solution

The fourth proportional to 30,256.78, 41,750.07 and 16,828.30 is: 23,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.78 : 41,750.07 = 16,828.30 : x
  2. Step 2: Convert to fraction form
    30,256.78/41,750.07 = 16,828.30/x
  3. Step 3: Cross multiply
    30,256.78x = 41,750.07 × 16,828.30
  4. Step 4: Simplify right side
    30,256.78x = 702,582,702.98
  5. Step 5: Solve for x
    x = 702,582,702.98/30,256.78
  6. Step 6: Final answer
    x = 23,220.67

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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.