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Finding the Fourth Proportional to 2,316, 3,474.08 and 776.96

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Solution

The fourth proportional to 2,316, 3,474.08 and 776.96 is: 1,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316 : 3,474.08 = 776.96 : x
  2. Step 2: Convert to fraction form
    2,316/3,474.08 = 776.96/x
  3. Step 3: Cross multiply
    2,316x = 3,474.08 × 776.96
  4. Step 4: Simplify right side
    2,316x = 2,699,221.20
  5. Step 5: Solve for x
    x = 2,699,221.20/2,316
  6. Step 6: Final answer
    x = 1,165.47

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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.