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Finding the Fourth Proportional to 6,507.20, 8,980 and 3,954.24

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Solution

The fourth proportional to 6,507.20, 8,980 and 3,954.24 is: 5,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.20 : 8,980 = 3,954.24 : x
  2. Step 2: Convert to fraction form
    6,507.20/8,980 = 3,954.24/x
  3. Step 3: Cross multiply
    6,507.20x = 8,980 × 3,954.24
  4. Step 4: Simplify right side
    6,507.20x = 35,509,075.20
  5. Step 5: Solve for x
    x = 35,509,075.20/6,507.20
  6. Step 6: Final answer
    x = 5,456.89

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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.