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Finding the Fourth Proportional to 11,391.63, 15,720.44 and 7,419.49

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Solution

The fourth proportional to 11,391.63, 15,720.44 and 7,419.49 is: 10,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.63 : 15,720.44 = 7,419.49 : x
  2. Step 2: Convert to fraction form
    11,391.63/15,720.44 = 7,419.49/x
  3. Step 3: Cross multiply
    11,391.63x = 15,720.44 × 7,419.49
  4. Step 4: Simplify right side
    11,391.63x = 116,637,647.38
  5. Step 5: Solve for x
    x = 116,637,647.38/11,391.63
  6. Step 6: Final answer
    x = 10,238.89

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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.