Home / 1,548.09-2,322.10-378.10

Finding the Fourth Proportional to 1,548.09, 2,322.10 and 378.10

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Solution

The fourth proportional to 1,548.09, 2,322.10 and 378.10 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.09 : 2,322.10 = 378.10 : x
  2. Step 2: Convert to fraction form
    1,548.09/2,322.10 = 378.10/x
  3. Step 3: Cross multiply
    1,548.09x = 2,322.10 × 378.10
  4. Step 4: Simplify right side
    1,548.09x = 877,986.01
  5. Step 5: Solve for x
    x = 877,986.01/1,548.09
  6. Step 6: Final answer
    x = 567.14

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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.