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Finding the Fourth Proportional to 6,130.50, 9,195.78 and 1,513.50

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Solution

The fourth proportional to 6,130.50, 9,195.78 and 1,513.50 is: 2,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.50 : 9,195.78 = 1,513.50 : x
  2. Step 2: Convert to fraction form
    6,130.50/9,195.78 = 1,513.50/x
  3. Step 3: Cross multiply
    6,130.50x = 9,195.78 × 1,513.50
  4. Step 4: Simplify right side
    6,130.50x = 13,917,813.03
  5. Step 5: Solve for x
    x = 13,917,813.03/6,130.50
  6. Step 6: Final answer
    x = 2,270.26

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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.