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Finding the Fourth Proportional to 14,100, 19,458 and 7,813.32

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Solution

The fourth proportional to 14,100, 19,458 and 7,813.32 is: 10,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100 : 19,458 = 7,813.32 : x
  2. Step 2: Convert to fraction form
    14,100/19,458 = 7,813.32/x
  3. Step 3: Cross multiply
    14,100x = 19,458 × 7,813.32
  4. Step 4: Simplify right side
    14,100x = 152,031,580.56
  5. Step 5: Solve for x
    x = 152,031,580.56/14,100
  6. Step 6: Final answer
    x = 10,782.38

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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.