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Finding the Fourth Proportional to 3,031.75, 4,547.63 and 979.75

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Solution

The fourth proportional to 3,031.75, 4,547.63 and 979.75 is: 1,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.75 : 4,547.63 = 979.75 : x
  2. Step 2: Convert to fraction form
    3,031.75/4,547.63 = 979.75/x
  3. Step 3: Cross multiply
    3,031.75x = 4,547.63 × 979.75
  4. Step 4: Simplify right side
    3,031.75x = 4,455,540.49
  5. Step 5: Solve for x
    x = 4,455,540.49/3,031.75
  6. Step 6: Final answer
    x = 1,469.63

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.