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Finding the Fourth Proportional to 13,797.12, 19,039.36 and 7,509.12

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Solution

The fourth proportional to 13,797.12, 19,039.36 and 7,509.12 is: 10,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.12 : 19,039.36 = 7,509.12 : x
  2. Step 2: Convert to fraction form
    13,797.12/19,039.36 = 7,509.12/x
  3. Step 3: Cross multiply
    13,797.12x = 19,039.36 × 7,509.12
  4. Step 4: Simplify right side
    13,797.12x = 142,968,838.96
  5. Step 5: Solve for x
    x = 142,968,838.96/13,797.12
  6. Step 6: Final answer
    x = 10,362.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.