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Finding the Fourth Proportional to 6,585.36, 9,878.62 and 1,905.30

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Solution

The fourth proportional to 6,585.36, 9,878.62 and 1,905.30 is: 2,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.36 : 9,878.62 = 1,905.30 : x
  2. Step 2: Convert to fraction form
    6,585.36/9,878.62 = 1,905.30/x
  3. Step 3: Cross multiply
    6,585.36x = 9,878.62 × 1,905.30
  4. Step 4: Simplify right side
    6,585.36x = 18,821,734.69
  5. Step 5: Solve for x
    x = 18,821,734.69/6,585.36
  6. Step 6: Final answer
    x = 2,858.12

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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.