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Finding the Fourth Proportional to 14,345.42, 19,794.94 and 7,971.98

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Solution

The fourth proportional to 14,345.42, 19,794.94 and 7,971.98 is: 11,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.42 : 19,794.94 = 7,971.98 : x
  2. Step 2: Convert to fraction form
    14,345.42/19,794.94 = 7,971.98/x
  3. Step 3: Cross multiply
    14,345.42x = 19,794.94 × 7,971.98
  4. Step 4: Simplify right side
    14,345.42x = 157,804,865.78
  5. Step 5: Solve for x
    x = 157,804,865.78/14,345.42
  6. Step 6: Final answer
    x = 11,000.37

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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.