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Finding the Fourth Proportional to 13,711.50, 20,570.49 and 4,477.50

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Solution

The fourth proportional to 13,711.50, 20,570.49 and 4,477.50 is: 6,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.50 : 20,570.49 = 4,477.50 : x
  2. Step 2: Convert to fraction form
    13,711.50/20,570.49 = 4,477.50/x
  3. Step 3: Cross multiply
    13,711.50x = 20,570.49 × 4,477.50
  4. Step 4: Simplify right side
    13,711.50x = 92,104,368.98
  5. Step 5: Solve for x
    x = 92,104,368.98/13,711.50
  6. Step 6: Final answer
    x = 6,717.31

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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.