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Finding the Fourth Proportional to 13,231.98, 18,259.44 and 7,854.64

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Solution

The fourth proportional to 13,231.98, 18,259.44 and 7,854.64 is: 10,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.98 : 18,259.44 = 7,854.64 : x
  2. Step 2: Convert to fraction form
    13,231.98/18,259.44 = 7,854.64/x
  3. Step 3: Cross multiply
    13,231.98x = 18,259.44 × 7,854.64
  4. Step 4: Simplify right side
    13,231.98x = 143,421,311.61
  5. Step 5: Solve for x
    x = 143,421,311.61/13,231.98
  6. Step 6: Final answer
    x = 10,838.99

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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.