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Finding the Fourth Proportional to 2,312.08, 3,465.96 and 772

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Solution

The fourth proportional to 2,312.08, 3,465.96 and 772 is: 1,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.08 : 3,465.96 = 772 : x
  2. Step 2: Convert to fraction form
    2,312.08/3,465.96 = 772/x
  3. Step 3: Cross multiply
    2,312.08x = 3,465.96 × 772
  4. Step 4: Simplify right side
    2,312.08x = 2,675,721.12
  5. Step 5: Solve for x
    x = 2,675,721.12/2,312.08
  6. Step 6: Final answer
    x = 1,157.28

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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.