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Finding the Fourth Proportional to 2,315.96, 3,473.21 and 776.60

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Solution

The fourth proportional to 2,315.96, 3,473.21 and 776.60 is: 1,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.96 : 3,473.21 = 776.60 : x
  2. Step 2: Convert to fraction form
    2,315.96/3,473.21 = 776.60/x
  3. Step 3: Cross multiply
    2,315.96x = 3,473.21 × 776.60
  4. Step 4: Simplify right side
    2,315.96x = 2,697,277.52
  5. Step 5: Solve for x
    x = 2,697,277.52/2,315.96
  6. Step 6: Final answer
    x = 1,164.65

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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.