Home / 6,496-8,965.88-4,137.60

Finding the Fourth Proportional to 6,496, 8,965.88 and 4,137.60

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Solution

The fourth proportional to 6,496, 8,965.88 and 4,137.60 is: 5,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496 : 8,965.88 = 4,137.60 : x
  2. Step 2: Convert to fraction form
    6,496/8,965.88 = 4,137.60/x
  3. Step 3: Cross multiply
    6,496x = 8,965.88 × 4,137.60
  4. Step 4: Simplify right side
    6,496x = 37,097,225.09
  5. Step 5: Solve for x
    x = 37,097,225.09/6,496
  6. Step 6: Final answer
    x = 5,710.78

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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.