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Finding the Fourth Proportional to 13,309.65, 19,969.07 and 5,919.30

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Solution

The fourth proportional to 13,309.65, 19,969.07 and 5,919.30 is: 8,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.65 : 19,969.07 = 5,919.30 : x
  2. Step 2: Convert to fraction form
    13,309.65/19,969.07 = 5,919.30/x
  3. Step 3: Cross multiply
    13,309.65x = 19,969.07 × 5,919.30
  4. Step 4: Simplify right side
    13,309.65x = 118,202,886.45
  5. Step 5: Solve for x
    x = 118,202,886.45/13,309.65
  6. Step 6: Final answer
    x = 8,880.99

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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.