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Finding the Fourth Proportional to 35,540.88, 53,267.60 and 12,140

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Solution

The fourth proportional to 35,540.88, 53,267.60 and 12,140 is: 18,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,540.88 : 53,267.60 = 12,140 : x
  2. Step 2: Convert to fraction form
    35,540.88/53,267.60 = 12,140/x
  3. Step 3: Cross multiply
    35,540.88x = 53,267.60 × 12,140
  4. Step 4: Simplify right side
    35,540.88x = 646,668,664
  5. Step 5: Solve for x
    x = 646,668,664/35,540.88
  6. Step 6: Final answer
    x = 18,195.07

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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.