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Finding the Fourth Proportional to 1,570.93, 2,167.50 and 941.56

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Solution

The fourth proportional to 1,570.93, 2,167.50 and 941.56 is: 1,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.93 : 2,167.50 = 941.56 : x
  2. Step 2: Convert to fraction form
    1,570.93/2,167.50 = 941.56/x
  3. Step 3: Cross multiply
    1,570.93x = 2,167.50 × 941.56
  4. Step 4: Simplify right side
    1,570.93x = 2,040,831.30
  5. Step 5: Solve for x
    x = 2,040,831.30/1,570.93
  6. Step 6: Final answer
    x = 1,299.12

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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.