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Finding the Fourth Proportional to 1,823.99, 2,736.43 and 783.47

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Solution

The fourth proportional to 1,823.99, 2,736.43 and 783.47 is: 1,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.99 : 2,736.43 = 783.47 : x
  2. Step 2: Convert to fraction form
    1,823.99/2,736.43 = 783.47/x
  3. Step 3: Cross multiply
    1,823.99x = 2,736.43 × 783.47
  4. Step 4: Simplify right side
    1,823.99x = 2,143,920.10
  5. Step 5: Solve for x
    x = 2,143,920.10/1,823.99
  6. Step 6: Final answer
    x = 1,175.40

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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.