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Finding the Fourth Proportional to 5,641.92, 7,785.90 and 3,284.28

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Solution

The fourth proportional to 5,641.92, 7,785.90 and 3,284.28 is: 4,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.92 : 7,785.90 = 3,284.28 : x
  2. Step 2: Convert to fraction form
    5,641.92/7,785.90 = 3,284.28/x
  3. Step 3: Cross multiply
    5,641.92x = 7,785.90 × 3,284.28
  4. Step 4: Simplify right side
    5,641.92x = 25,571,075.65
  5. Step 5: Solve for x
    x = 25,571,075.65/5,641.92
  6. Step 6: Final answer
    x = 4,532.34

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Half scale
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Double scale
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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.