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Finding the Fourth Proportional to 13,811.70, 20,699.07 and 5,038.34

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Solution

The fourth proportional to 13,811.70, 20,699.07 and 5,038.34 is: 7,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.70 : 20,699.07 = 5,038.34 : x
  2. Step 2: Convert to fraction form
    13,811.70/20,699.07 = 5,038.34/x
  3. Step 3: Cross multiply
    13,811.70x = 20,699.07 × 5,038.34
  4. Step 4: Simplify right side
    13,811.70x = 104,288,952.34
  5. Step 5: Solve for x
    x = 104,288,952.34/13,811.70
  6. Step 6: Final answer
    x = 7,550.77

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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.