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Finding the Fourth Proportional to 6,434, 8,878.92 and 3,490

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Solution

The fourth proportional to 6,434, 8,878.92 and 3,490 is: 4,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 8,878.92 = 3,490 : x
  2. Step 2: Convert to fraction form
    6,434/8,878.92 = 3,490/x
  3. Step 3: Cross multiply
    6,434x = 8,878.92 × 3,490
  4. Step 4: Simplify right side
    6,434x = 30,987,430.80
  5. Step 5: Solve for x
    x = 30,987,430.80/6,434
  6. Step 6: Final answer
    x = 4,816.20

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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.