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Finding the Fourth Proportional to 12,835.51, 17,711.12 and 7,169.56

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Solution

The fourth proportional to 12,835.51, 17,711.12 and 7,169.56 is: 9,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.51 : 17,711.12 = 7,169.56 : x
  2. Step 2: Convert to fraction form
    12,835.51/17,711.12 = 7,169.56/x
  3. Step 3: Cross multiply
    12,835.51x = 17,711.12 × 7,169.56
  4. Step 4: Simplify right side
    12,835.51x = 126,980,813.10
  5. Step 5: Solve for x
    x = 126,980,813.10/12,835.51
  6. Step 6: Final answer
    x = 9,892.93

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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.