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Finding the Fourth Proportional to 1,788.39, 2,683.53 and 922.50

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Solution

The fourth proportional to 1,788.39, 2,683.53 and 922.50 is: 1,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.39 : 2,683.53 = 922.50 : x
  2. Step 2: Convert to fraction form
    1,788.39/2,683.53 = 922.50/x
  3. Step 3: Cross multiply
    1,788.39x = 2,683.53 × 922.50
  4. Step 4: Simplify right side
    1,788.39x = 2,475,556.43
  5. Step 5: Solve for x
    x = 2,475,556.43/1,788.39
  6. Step 6: Final answer
    x = 1,384.24

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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.