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Finding the Fourth Proportional to 5,260.94, 7,888.98 and 1,971.68

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Solution

The fourth proportional to 5,260.94, 7,888.98 and 1,971.68 is: 2,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.94 : 7,888.98 = 1,971.68 : x
  2. Step 2: Convert to fraction form
    5,260.94/7,888.98 = 1,971.68/x
  3. Step 3: Cross multiply
    5,260.94x = 7,888.98 × 1,971.68
  4. Step 4: Simplify right side
    5,260.94x = 15,554,544.09
  5. Step 5: Solve for x
    x = 15,554,544.09/5,260.94
  6. Step 6: Final answer
    x = 2,956.61

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1.5x scale

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.