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Finding the Fourth Proportional to 14,231.35, 19,640.35 and 7,859.17

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Solution

The fourth proportional to 14,231.35, 19,640.35 and 7,859.17 is: 10,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.35 : 19,640.35 = 7,859.17 : x
  2. Step 2: Convert to fraction form
    14,231.35/19,640.35 = 7,859.17/x
  3. Step 3: Cross multiply
    14,231.35x = 19,640.35 × 7,859.17
  4. Step 4: Simplify right side
    14,231.35x = 154,356,849.51
  5. Step 5: Solve for x
    x = 154,356,849.51/14,231.35
  6. Step 6: Final answer
    x = 10,846.25

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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.