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Finding the Fourth Proportional to 39,615, 54,668.70 and 22,848

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Solution

The fourth proportional to 39,615, 54,668.70 and 22,848 is: 31,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,615 : 54,668.70 = 22,848 : x
  2. Step 2: Convert to fraction form
    39,615/54,668.70 = 22,848/x
  3. Step 3: Cross multiply
    39,615x = 54,668.70 × 22,848
  4. Step 4: Simplify right side
    39,615x = 1,249,070,457.60
  5. Step 5: Solve for x
    x = 1,249,070,457.60/39,615
  6. Step 6: Final answer
    x = 31,530.24

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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.