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Finding the Fourth Proportional to 14,005, 19,329.74 and 8,040.78

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Solution

The fourth proportional to 14,005, 19,329.74 and 8,040.78 is: 11,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005 : 19,329.74 = 8,040.78 : x
  2. Step 2: Convert to fraction form
    14,005/19,329.74 = 8,040.78/x
  3. Step 3: Cross multiply
    14,005x = 19,329.74 × 8,040.78
  4. Step 4: Simplify right side
    14,005x = 155,426,186.80
  5. Step 5: Solve for x
    x = 155,426,186.80/14,005
  6. Step 6: Final answer
    x = 11,097.91

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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.