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Finding the Fourth Proportional to 3,314, 4,971 and 1,005.68

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Solution

The fourth proportional to 3,314, 4,971 and 1,005.68 is: 1,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314 : 4,971 = 1,005.68 : x
  2. Step 2: Convert to fraction form
    3,314/4,971 = 1,005.68/x
  3. Step 3: Cross multiply
    3,314x = 4,971 × 1,005.68
  4. Step 4: Simplify right side
    3,314x = 4,999,235.28
  5. Step 5: Solve for x
    x = 4,999,235.28/3,314
  6. Step 6: Final answer
    x = 1,508.52

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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.