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Finding the Fourth Proportional to 7,507.57, 10,361.19 and 6,448.82

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Solution

The fourth proportional to 7,507.57, 10,361.19 and 6,448.82 is: 8,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.57 : 10,361.19 = 6,448.82 : x
  2. Step 2: Convert to fraction form
    7,507.57/10,361.19 = 6,448.82/x
  3. Step 3: Cross multiply
    7,507.57x = 10,361.19 × 6,448.82
  4. Step 4: Simplify right side
    7,507.57x = 66,817,417.05
  5. Step 5: Solve for x
    x = 66,817,417.05/7,507.57
  6. Step 6: Final answer
    x = 8,900.01

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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.