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Finding the Fourth Proportional to 19,419, 29,128.52 and 4,827

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Solution

The fourth proportional to 19,419, 29,128.52 and 4,827 is: 7,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419 : 29,128.52 = 4,827 : x
  2. Step 2: Convert to fraction form
    19,419/29,128.52 = 4,827/x
  3. Step 3: Cross multiply
    19,419x = 29,128.52 × 4,827
  4. Step 4: Simplify right side
    19,419x = 140,603,366.04
  5. Step 5: Solve for x
    x = 140,603,366.04/19,419
  6. Step 6: Final answer
    x = 7,240.50

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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.