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Finding the Fourth Proportional to 14,296.78, 19,729.07 and 7,923.64

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Solution

The fourth proportional to 14,296.78, 19,729.07 and 7,923.64 is: 10,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.78 : 19,729.07 = 7,923.64 : x
  2. Step 2: Convert to fraction form
    14,296.78/19,729.07 = 7,923.64/x
  3. Step 3: Cross multiply
    14,296.78x = 19,729.07 × 7,923.64
  4. Step 4: Simplify right side
    14,296.78x = 156,326,048.21
  5. Step 5: Solve for x
    x = 156,326,048.21/14,296.78
  6. Step 6: Final answer
    x = 10,934.35

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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.