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Finding the Fourth Proportional to 21,295.43, 31,946.94 and 7,254.68

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Solution

The fourth proportional to 21,295.43, 31,946.94 and 7,254.68 is: 10,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295.43 : 31,946.94 = 7,254.68 : x
  2. Step 2: Convert to fraction form
    21,295.43/31,946.94 = 7,254.68/x
  3. Step 3: Cross multiply
    21,295.43x = 31,946.94 × 7,254.68
  4. Step 4: Simplify right side
    21,295.43x = 231,764,666.94
  5. Step 5: Solve for x
    x = 231,764,666.94/21,295.43
  6. Step 6: Final answer
    x = 10,883.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.