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Finding the Fourth Proportional to 13,800.99, 19,045.89 and 7,832.91

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Solution

The fourth proportional to 13,800.99, 19,045.89 and 7,832.91 is: 10,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.99 : 19,045.89 = 7,832.91 : x
  2. Step 2: Convert to fraction form
    13,800.99/19,045.89 = 7,832.91/x
  3. Step 3: Cross multiply
    13,800.99x = 19,045.89 × 7,832.91
  4. Step 4: Simplify right side
    13,800.99x = 149,184,742.24
  5. Step 5: Solve for x
    x = 149,184,742.24/13,800.99
  6. Step 6: Final answer
    x = 10,809.71

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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.