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Finding the Fourth Proportional to 6,301.78, 9,449.62 and 1,918.06

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Solution

The fourth proportional to 6,301.78, 9,449.62 and 1,918.06 is: 2,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.78 : 9,449.62 = 1,918.06 : x
  2. Step 2: Convert to fraction form
    6,301.78/9,449.62 = 1,918.06/x
  3. Step 3: Cross multiply
    6,301.78x = 9,449.62 × 1,918.06
  4. Step 4: Simplify right side
    6,301.78x = 18,124,938.14
  5. Step 5: Solve for x
    x = 18,124,938.14/6,301.78
  6. Step 6: Final answer
    x = 2,876.16

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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.