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Finding the Fourth Proportional to 2,428.98, 3,643.94 and 785.08

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Solution

The fourth proportional to 2,428.98, 3,643.94 and 785.08 is: 1,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.98 : 3,643.94 = 785.08 : x
  2. Step 2: Convert to fraction form
    2,428.98/3,643.94 = 785.08/x
  3. Step 3: Cross multiply
    2,428.98x = 3,643.94 × 785.08
  4. Step 4: Simplify right side
    2,428.98x = 2,860,784.42
  5. Step 5: Solve for x
    x = 2,860,784.42/2,428.98
  6. Step 6: Final answer
    x = 1,177.77

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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.