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Finding the Fourth Proportional to 13,780.98, 19,017 and 8,473.86

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Solution

The fourth proportional to 13,780.98, 19,017 and 8,473.86 is: 11,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.98 : 19,017 = 8,473.86 : x
  2. Step 2: Convert to fraction form
    13,780.98/19,017 = 8,473.86/x
  3. Step 3: Cross multiply
    13,780.98x = 19,017 × 8,473.86
  4. Step 4: Simplify right side
    13,780.98x = 161,147,395.62
  5. Step 5: Solve for x
    x = 161,147,395.62/13,780.98
  6. Step 6: Final answer
    x = 11,693.46

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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.