Home / 1,564.24-2,157.81-967.07

Finding the Fourth Proportional to 1,564.24, 2,157.81 and 967.07

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Solution

The fourth proportional to 1,564.24, 2,157.81 and 967.07 is: 1,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.24 : 2,157.81 = 967.07 : x
  2. Step 2: Convert to fraction form
    1,564.24/2,157.81 = 967.07/x
  3. Step 3: Cross multiply
    1,564.24x = 2,157.81 × 967.07
  4. Step 4: Simplify right side
    1,564.24x = 2,086,744.95
  5. Step 5: Solve for x
    x = 2,086,744.95/1,564.24
  6. Step 6: Final answer
    x = 1,334.03

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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.