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Finding the Fourth Proportional to 2,602, 3,903.16 and 778

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Solution

The fourth proportional to 2,602, 3,903.16 and 778 is: 1,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602 : 3,903.16 = 778 : x
  2. Step 2: Convert to fraction form
    2,602/3,903.16 = 778/x
  3. Step 3: Cross multiply
    2,602x = 3,903.16 × 778
  4. Step 4: Simplify right side
    2,602x = 3,036,658.48
  5. Step 5: Solve for x
    x = 3,036,658.48/2,602
  6. Step 6: Final answer
    x = 1,167.05

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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.