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Finding the Fourth Proportional to 7,019.64, 10,529.43 and 1,825.50

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Solution

The fourth proportional to 7,019.64, 10,529.43 and 1,825.50 is: 2,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.64 : 10,529.43 = 1,825.50 : x
  2. Step 2: Convert to fraction form
    7,019.64/10,529.43 = 1,825.50/x
  3. Step 3: Cross multiply
    7,019.64x = 10,529.43 × 1,825.50
  4. Step 4: Simplify right side
    7,019.64x = 19,221,474.47
  5. Step 5: Solve for x
    x = 19,221,474.47/7,019.64
  6. Step 6: Final answer
    x = 2,738.24

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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.