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Finding the Fourth Proportional to 14,205.78, 19,604.64 and 7,918.20

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Solution

The fourth proportional to 14,205.78, 19,604.64 and 7,918.20 is: 10,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.78 : 19,604.64 = 7,918.20 : x
  2. Step 2: Convert to fraction form
    14,205.78/19,604.64 = 7,918.20/x
  3. Step 3: Cross multiply
    14,205.78x = 19,604.64 × 7,918.20
  4. Step 4: Simplify right side
    14,205.78x = 155,233,460.45
  5. Step 5: Solve for x
    x = 155,233,460.45/14,205.78
  6. Step 6: Final answer
    x = 10,927.49

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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.