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Finding the Fourth Proportional to 2,600, 3,900 and 776

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Solution

The fourth proportional to 2,600, 3,900 and 776 is: 1,164

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600 : 3,900 = 776 : x
  2. Step 2: Convert to fraction form
    2,600/3,900 = 776/x
  3. Step 3: Cross multiply
    2,600x = 3,900 × 776
  4. Step 4: Simplify right side
    2,600x = 3,026,400
  5. Step 5: Solve for x
    x = 3,026,400/2,600
  6. Step 6: Final answer
    x = 1,164

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.