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Finding the Fourth Proportional to 1,683.70, 2,526.64 and 893.78

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Solution

The fourth proportional to 1,683.70, 2,526.64 and 893.78 is: 1,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.70 : 2,526.64 = 893.78 : x
  2. Step 2: Convert to fraction form
    1,683.70/2,526.64 = 893.78/x
  3. Step 3: Cross multiply
    1,683.70x = 2,526.64 × 893.78
  4. Step 4: Simplify right side
    1,683.70x = 2,258,260.30
  5. Step 5: Solve for x
    x = 2,258,260.30/1,683.70
  6. Step 6: Final answer
    x = 1,341.25

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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.