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Finding the Fourth Proportional to 2,428.22, 3,642.40 and 784.78

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Solution

The fourth proportional to 2,428.22, 3,642.40 and 784.78 is: 1,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.22 : 3,642.40 = 784.78 : x
  2. Step 2: Convert to fraction form
    2,428.22/3,642.40 = 784.78/x
  3. Step 3: Cross multiply
    2,428.22x = 3,642.40 × 784.78
  4. Step 4: Simplify right side
    2,428.22x = 2,858,482.67
  5. Step 5: Solve for x
    x = 2,858,482.67/2,428.22
  6. Step 6: Final answer
    x = 1,177.19

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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.