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Finding the Fourth Proportional to 6,448.68, 8,918.82 and 5,785.29

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Solution

The fourth proportional to 6,448.68, 8,918.82 and 5,785.29 is: 8,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.68 : 8,918.82 = 5,785.29 : x
  2. Step 2: Convert to fraction form
    6,448.68/8,918.82 = 5,785.29/x
  3. Step 3: Cross multiply
    6,448.68x = 8,918.82 × 5,785.29
  4. Step 4: Simplify right side
    6,448.68x = 51,597,960.16
  5. Step 5: Solve for x
    x = 51,597,960.16/6,448.68
  6. Step 6: Final answer
    x = 8,001.32

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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.