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Finding the Fourth Proportional to 2,428.49, 3,642.65 and 784.99

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Solution

The fourth proportional to 2,428.49, 3,642.65 and 784.99 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.49 : 3,642.65 = 784.99 : x
  2. Step 2: Convert to fraction form
    2,428.49/3,642.65 = 784.99/x
  3. Step 3: Cross multiply
    2,428.49x = 3,642.65 × 784.99
  4. Step 4: Simplify right side
    2,428.49x = 2,859,449.34
  5. Step 5: Solve for x
    x = 2,859,449.34/2,428.49
  6. Step 6: Final answer
    x = 1,177.46

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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.