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Finding the Fourth Proportional to 3,767.80, 5,651.70 and 1,031.80

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Solution

The fourth proportional to 3,767.80, 5,651.70 and 1,031.80 is: 1,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.80 : 5,651.70 = 1,031.80 : x
  2. Step 2: Convert to fraction form
    3,767.80/5,651.70 = 1,031.80/x
  3. Step 3: Cross multiply
    3,767.80x = 5,651.70 × 1,031.80
  4. Step 4: Simplify right side
    3,767.80x = 5,831,424.06
  5. Step 5: Solve for x
    x = 5,831,424.06/3,767.80
  6. Step 6: Final answer
    x = 1,547.70

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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.