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Finding the Fourth Proportional to 39,785, 54,903.36 and 23,019.08

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Solution

The fourth proportional to 39,785, 54,903.36 and 23,019.08 is: 31,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,785 : 54,903.36 = 23,019.08 : x
  2. Step 2: Convert to fraction form
    39,785/54,903.36 = 23,019.08/x
  3. Step 3: Cross multiply
    39,785x = 54,903.36 × 23,019.08
  4. Step 4: Simplify right side
    39,785x = 1,263,824,836.11
  5. Step 5: Solve for x
    x = 1,263,824,836.11/39,785
  6. Step 6: Final answer
    x = 31,766.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.