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Finding the Fourth Proportional to 6,535.63, 9,805.07 and 1,918.63

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Solution

The fourth proportional to 6,535.63, 9,805.07 and 1,918.63 is: 2,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.63 : 9,805.07 = 1,918.63 : x
  2. Step 2: Convert to fraction form
    6,535.63/9,805.07 = 1,918.63/x
  3. Step 3: Cross multiply
    6,535.63x = 9,805.07 × 1,918.63
  4. Step 4: Simplify right side
    6,535.63x = 18,812,301.45
  5. Step 5: Solve for x
    x = 18,812,301.45/6,535.63
  6. Step 6: Final answer
    x = 2,878.42

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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.