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Finding the Fourth Proportional to 3,162.96, 4,745.16 and 971.64

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Solution

The fourth proportional to 3,162.96, 4,745.16 and 971.64 is: 1,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.96 : 4,745.16 = 971.64 : x
  2. Step 2: Convert to fraction form
    3,162.96/4,745.16 = 971.64/x
  3. Step 3: Cross multiply
    3,162.96x = 4,745.16 × 971.64
  4. Step 4: Simplify right side
    3,162.96x = 4,610,587.26
  5. Step 5: Solve for x
    x = 4,610,587.26/3,162.96
  6. Step 6: Final answer
    x = 1,457.68

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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.