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Finding the Fourth Proportional to 5,265.78, 7,899.13 and 1,370.19

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Solution

The fourth proportional to 5,265.78, 7,899.13 and 1,370.19 is: 2,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.78 : 7,899.13 = 1,370.19 : x
  2. Step 2: Convert to fraction form
    5,265.78/7,899.13 = 1,370.19/x
  3. Step 3: Cross multiply
    5,265.78x = 7,899.13 × 1,370.19
  4. Step 4: Simplify right side
    5,265.78x = 10,823,308.93
  5. Step 5: Solve for x
    x = 10,823,308.93/5,265.78
  6. Step 6: Final answer
    x = 2,055.40

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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.