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Finding the Fourth Proportional to 13,011.69, 17,943.84 and 8,539.32

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Solution

The fourth proportional to 13,011.69, 17,943.84 and 8,539.32 is: 11,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.69 : 17,943.84 = 8,539.32 : x
  2. Step 2: Convert to fraction form
    13,011.69/17,943.84 = 8,539.32/x
  3. Step 3: Cross multiply
    13,011.69x = 17,943.84 × 8,539.32
  4. Step 4: Simplify right side
    13,011.69x = 153,228,191.79
  5. Step 5: Solve for x
    x = 153,228,191.79/13,011.69
  6. Step 6: Final answer
    x = 11,776.19

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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.