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Finding the Fourth Proportional to 25,310.71, 37,969.70 and 7,782.01

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Solution

The fourth proportional to 25,310.71, 37,969.70 and 7,782.01 is: 11,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310.71 : 37,969.70 = 7,782.01 : x
  2. Step 2: Convert to fraction form
    25,310.71/37,969.70 = 7,782.01/x
  3. Step 3: Cross multiply
    25,310.71x = 37,969.70 × 7,782.01
  4. Step 4: Simplify right side
    25,310.71x = 295,480,546.19
  5. Step 5: Solve for x
    x = 295,480,546.19/25,310.71
  6. Step 6: Final answer
    x = 11,674.13

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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.