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Finding the Fourth Proportional to 1,293.96, 1,782.90 and 1,135.38

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Solution

The fourth proportional to 1,293.96, 1,782.90 and 1,135.38 is: 1,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.96 : 1,782.90 = 1,135.38 : x
  2. Step 2: Convert to fraction form
    1,293.96/1,782.90 = 1,135.38/x
  3. Step 3: Cross multiply
    1,293.96x = 1,782.90 × 1,135.38
  4. Step 4: Simplify right side
    1,293.96x = 2,024,269.00
  5. Step 5: Solve for x
    x = 2,024,269.00/1,293.96
  6. Step 6: Final answer
    x = 1,564.40

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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.