Home / 1,564.36-2,157.09-1,066

Finding the Fourth Proportional to 1,564.36, 2,157.09 and 1,066

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Solution

The fourth proportional to 1,564.36, 2,157.09 and 1,066 is: 1,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.36 : 2,157.09 = 1,066 : x
  2. Step 2: Convert to fraction form
    1,564.36/2,157.09 = 1,066/x
  3. Step 3: Cross multiply
    1,564.36x = 2,157.09 × 1,066
  4. Step 4: Simplify right side
    1,564.36x = 2,299,457.94
  5. Step 5: Solve for x
    x = 2,299,457.94/1,564.36
  6. Step 6: Final answer
    x = 1,469.90

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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.