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Finding the Fourth Proportional to 6,284.50, 8,672.64 and 3,490

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Solution

The fourth proportional to 6,284.50, 8,672.64 and 3,490 is: 4,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.50 : 8,672.64 = 3,490 : x
  2. Step 2: Convert to fraction form
    6,284.50/8,672.64 = 3,490/x
  3. Step 3: Cross multiply
    6,284.50x = 8,672.64 × 3,490
  4. Step 4: Simplify right side
    6,284.50x = 30,267,513.60
  5. Step 5: Solve for x
    x = 30,267,513.60/6,284.50
  6. Step 6: Final answer
    x = 4,816.22

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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.