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Finding the Fourth Proportional to 14,735.70, 20,334.78 and 8,021.20

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Solution

The fourth proportional to 14,735.70, 20,334.78 and 8,021.20 is: 11,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.70 : 20,334.78 = 8,021.20 : x
  2. Step 2: Convert to fraction form
    14,735.70/20,334.78 = 8,021.20/x
  3. Step 3: Cross multiply
    14,735.70x = 20,334.78 × 8,021.20
  4. Step 4: Simplify right side
    14,735.70x = 163,109,337.34
  5. Step 5: Solve for x
    x = 163,109,337.34/14,735.70
  6. Step 6: Final answer
    x = 11,068.99

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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.