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Finding the Fourth Proportional to 6,483.36, 9,710.40 and 3,880.80

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Solution

The fourth proportional to 6,483.36, 9,710.40 and 3,880.80 is: 5,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.36 : 9,710.40 = 3,880.80 : x
  2. Step 2: Convert to fraction form
    6,483.36/9,710.40 = 3,880.80/x
  3. Step 3: Cross multiply
    6,483.36x = 9,710.40 × 3,880.80
  4. Step 4: Simplify right side
    6,483.36x = 37,684,120.32
  5. Step 5: Solve for x
    x = 37,684,120.32/6,483.36
  6. Step 6: Final answer
    x = 5,812.44

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1.5x scale

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.