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Finding the Fourth Proportional to 13,101.67, 18,078.73 and 7,437.07

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Solution

The fourth proportional to 13,101.67, 18,078.73 and 7,437.07 is: 10,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.67 : 18,078.73 = 7,437.07 : x
  2. Step 2: Convert to fraction form
    13,101.67/18,078.73 = 7,437.07/x
  3. Step 3: Cross multiply
    13,101.67x = 18,078.73 × 7,437.07
  4. Step 4: Simplify right side
    13,101.67x = 134,452,780.52
  5. Step 5: Solve for x
    x = 134,452,780.52/13,101.67
  6. Step 6: Final answer
    x = 10,262.26

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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.