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Finding the Fourth Proportional to 6,878, 9,492 and 4,045.52

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Solution

The fourth proportional to 6,878, 9,492 and 4,045.52 is: 5,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878 : 9,492 = 4,045.52 : x
  2. Step 2: Convert to fraction form
    6,878/9,492 = 4,045.52/x
  3. Step 3: Cross multiply
    6,878x = 9,492 × 4,045.52
  4. Step 4: Simplify right side
    6,878x = 38,400,075.84
  5. Step 5: Solve for x
    x = 38,400,075.84/6,878
  6. Step 6: Final answer
    x = 5,583.03

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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.