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Finding the Fourth Proportional to 13,765.86, 18,996.77 and 7,478.23

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Solution

The fourth proportional to 13,765.86, 18,996.77 and 7,478.23 is: 10,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.86 : 18,996.77 = 7,478.23 : x
  2. Step 2: Convert to fraction form
    13,765.86/18,996.77 = 7,478.23/x
  3. Step 3: Cross multiply
    13,765.86x = 18,996.77 × 7,478.23
  4. Step 4: Simplify right side
    13,765.86x = 142,062,215.32
  5. Step 5: Solve for x
    x = 142,062,215.32/13,765.86
  6. Step 6: Final answer
    x = 10,319.89

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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.