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Finding the Fourth Proportional to 39,564.40, 59,231.40 and 38,412.40

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Solution

The fourth proportional to 39,564.40, 59,231.40 and 38,412.40 is: 57,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564.40 : 59,231.40 = 38,412.40 : x
  2. Step 2: Convert to fraction form
    39,564.40/59,231.40 = 38,412.40/x
  3. Step 3: Cross multiply
    39,564.40x = 59,231.40 × 38,412.40
  4. Step 4: Simplify right side
    39,564.40x = 2,275,220,229.36
  5. Step 5: Solve for x
    x = 2,275,220,229.36/39,564.40
  6. Step 6: Final answer
    x = 57,506.75

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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.