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Finding the Fourth Proportional to 19,070, 28,571.64 and 13,230.32

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Solution

The fourth proportional to 19,070, 28,571.64 and 13,230.32 is: 19,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,070 : 28,571.64 = 13,230.32 : x
  2. Step 2: Convert to fraction form
    19,070/28,571.64 = 13,230.32/x
  3. Step 3: Cross multiply
    19,070x = 28,571.64 × 13,230.32
  4. Step 4: Simplify right side
    19,070x = 378,011,940.12
  5. Step 5: Solve for x
    x = 378,011,940.12/19,070
  6. Step 6: Final answer
    x = 19,822.34

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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.