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Finding the Fourth Proportional to 1,782.89, 2,461.13 and 1,384.67

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Solution

The fourth proportional to 1,782.89, 2,461.13 and 1,384.67 is: 1,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.89 : 2,461.13 = 1,384.67 : x
  2. Step 2: Convert to fraction form
    1,782.89/2,461.13 = 1,384.67/x
  3. Step 3: Cross multiply
    1,782.89x = 2,461.13 × 1,384.67
  4. Step 4: Simplify right side
    1,782.89x = 3,407,858.17
  5. Step 5: Solve for x
    x = 3,407,858.17/1,782.89
  6. Step 6: Final answer
    x = 1,911.43

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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.