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Finding the Fourth Proportional to 7,531, 10,392.84 and 4,219

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Solution

The fourth proportional to 7,531, 10,392.84 and 4,219 is: 5,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531 : 10,392.84 = 4,219 : x
  2. Step 2: Convert to fraction form
    7,531/10,392.84 = 4,219/x
  3. Step 3: Cross multiply
    7,531x = 10,392.84 × 4,219
  4. Step 4: Simplify right side
    7,531x = 43,847,391.96
  5. Step 5: Solve for x
    x = 43,847,391.96/7,531
  6. Step 6: Final answer
    x = 5,822.25

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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.