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Finding the Fourth Proportional to 5,853.78, 8,075.16 and 3,965.49

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Solution

The fourth proportional to 5,853.78, 8,075.16 and 3,965.49 is: 5,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.78 : 8,075.16 = 3,965.49 : x
  2. Step 2: Convert to fraction form
    5,853.78/8,075.16 = 3,965.49/x
  3. Step 3: Cross multiply
    5,853.78x = 8,075.16 × 3,965.49
  4. Step 4: Simplify right side
    5,853.78x = 32,021,966.23
  5. Step 5: Solve for x
    x = 32,021,966.23/5,853.78
  6. Step 6: Final answer
    x = 5,470.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.