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Finding the Fourth Proportional to 4,309.53, 6,456.51 and 1,971.51

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Solution

The fourth proportional to 4,309.53, 6,456.51 and 1,971.51 is: 2,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.53 : 6,456.51 = 1,971.51 : x
  2. Step 2: Convert to fraction form
    4,309.53/6,456.51 = 1,971.51/x
  3. Step 3: Cross multiply
    4,309.53x = 6,456.51 × 1,971.51
  4. Step 4: Simplify right side
    4,309.53x = 12,729,074.03
  5. Step 5: Solve for x
    x = 12,729,074.03/4,309.53
  6. Step 6: Final answer
    x = 2,953.70

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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.