Home / 2,424.45-3,637.07-780.78

Finding the Fourth Proportional to 2,424.45, 3,637.07 and 780.78

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Solution

The fourth proportional to 2,424.45, 3,637.07 and 780.78 is: 1,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.45 : 3,637.07 = 780.78 : x
  2. Step 2: Convert to fraction form
    2,424.45/3,637.07 = 780.78/x
  3. Step 3: Cross multiply
    2,424.45x = 3,637.07 × 780.78
  4. Step 4: Simplify right side
    2,424.45x = 2,839,751.51
  5. Step 5: Solve for x
    x = 2,839,751.51/2,424.45
  6. Step 6: Final answer
    x = 1,171.30

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1.5x scale

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.