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Finding the Fourth Proportional to 1,824.40, 2,734.71 and 783.55

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Solution

The fourth proportional to 1,824.40, 2,734.71 and 783.55 is: 1,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.40 : 2,734.71 = 783.55 : x
  2. Step 2: Convert to fraction form
    1,824.40/2,734.71 = 783.55/x
  3. Step 3: Cross multiply
    1,824.40x = 2,734.71 × 783.55
  4. Step 4: Simplify right side
    1,824.40x = 2,142,782.02
  5. Step 5: Solve for x
    x = 2,142,782.02/1,824.40
  6. Step 6: Final answer
    x = 1,174.51

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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.