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Finding the Fourth Proportional to 25,313.58, 37,969.02 and 7,781.13

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Solution

The fourth proportional to 25,313.58, 37,969.02 and 7,781.13 is: 11,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,313.58 : 37,969.02 = 7,781.13 : x
  2. Step 2: Convert to fraction form
    25,313.58/37,969.02 = 7,781.13/x
  3. Step 3: Cross multiply
    25,313.58x = 37,969.02 × 7,781.13
  4. Step 4: Simplify right side
    25,313.58x = 295,441,880.59
  5. Step 5: Solve for x
    x = 295,441,880.59/25,313.58
  6. Step 6: Final answer
    x = 11,671.28

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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.