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Finding the Fourth Proportional to 13,315.53, 19,969.79 and 6,293.65

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Solution

The fourth proportional to 13,315.53, 19,969.79 and 6,293.65 is: 9,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.53 : 19,969.79 = 6,293.65 : x
  2. Step 2: Convert to fraction form
    13,315.53/19,969.79 = 6,293.65/x
  3. Step 3: Cross multiply
    13,315.53x = 19,969.79 × 6,293.65
  4. Step 4: Simplify right side
    13,315.53x = 125,682,868.83
  5. Step 5: Solve for x
    x = 125,682,868.83/13,315.53
  6. Step 6: Final answer
    x = 9,438.82

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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.