Home / 1,564.09-2,343.80-1,425.78

Finding the Fourth Proportional to 1,564.09, 2,343.80 and 1,425.78

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Solution

The fourth proportional to 1,564.09, 2,343.80 and 1,425.78 is: 2,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.09 : 2,343.80 = 1,425.78 : x
  2. Step 2: Convert to fraction form
    1,564.09/2,343.80 = 1,425.78/x
  3. Step 3: Cross multiply
    1,564.09x = 2,343.80 × 1,425.78
  4. Step 4: Simplify right side
    1,564.09x = 3,341,743.16
  5. Step 5: Solve for x
    x = 3,341,743.16/1,564.09
  6. Step 6: Final answer
    x = 2,136.54

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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.