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Finding the Fourth Proportional to 13,778.45, 19,014.48 and 7,809.99

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Solution

The fourth proportional to 13,778.45, 19,014.48 and 7,809.99 is: 10,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.45 : 19,014.48 = 7,809.99 : x
  2. Step 2: Convert to fraction form
    13,778.45/19,014.48 = 7,809.99/x
  3. Step 3: Cross multiply
    13,778.45x = 19,014.48 × 7,809.99
  4. Step 4: Simplify right side
    13,778.45x = 148,502,926.67
  5. Step 5: Solve for x
    x = 148,502,926.67/13,778.45
  6. Step 6: Final answer
    x = 10,777.91

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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.