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Finding the Fourth Proportional to 20,804.49, 31,200.25 and 6,950.25

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Solution

The fourth proportional to 20,804.49, 31,200.25 and 6,950.25 is: 10,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.49 : 31,200.25 = 6,950.25 : x
  2. Step 2: Convert to fraction form
    20,804.49/31,200.25 = 6,950.25/x
  3. Step 3: Cross multiply
    20,804.49x = 31,200.25 × 6,950.25
  4. Step 4: Simplify right side
    20,804.49x = 216,849,537.56
  5. Step 5: Solve for x
    x = 216,849,537.56/20,804.49
  6. Step 6: Final answer
    x = 10,423.21

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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.