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Finding the Fourth Proportional to 2,068.54, 3,103.32 and 971.64

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Solution

The fourth proportional to 2,068.54, 3,103.32 and 971.64 is: 1,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.54 : 3,103.32 = 971.64 : x
  2. Step 2: Convert to fraction form
    2,068.54/3,103.32 = 971.64/x
  3. Step 3: Cross multiply
    2,068.54x = 3,103.32 × 971.64
  4. Step 4: Simplify right side
    2,068.54x = 3,015,309.84
  5. Step 5: Solve for x
    x = 3,015,309.84/2,068.54
  6. Step 6: Final answer
    x = 1,457.70

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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.