Home / 1,538.51-2,306.77-1,307.48

Finding the Fourth Proportional to 1,538.51, 2,306.77 and 1,307.48

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Solution

The fourth proportional to 1,538.51, 2,306.77 and 1,307.48 is: 1,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.51 : 2,306.77 = 1,307.48 : x
  2. Step 2: Convert to fraction form
    1,538.51/2,306.77 = 1,307.48/x
  3. Step 3: Cross multiply
    1,538.51x = 2,306.77 × 1,307.48
  4. Step 4: Simplify right side
    1,538.51x = 3,016,040.84
  5. Step 5: Solve for x
    x = 3,016,040.84/1,538.51
  6. Step 6: Final answer
    x = 1,960.37

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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.