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Finding the Fourth Proportional to 21,323.81, 31,984.79 and 7,285.09

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Solution

The fourth proportional to 21,323.81, 31,984.79 and 7,285.09 is: 10,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.81 : 31,984.79 = 7,285.09 : x
  2. Step 2: Convert to fraction form
    21,323.81/31,984.79 = 7,285.09/x
  3. Step 3: Cross multiply
    21,323.81x = 31,984.79 × 7,285.09
  4. Step 4: Simplify right side
    21,323.81x = 233,011,895.64
  5. Step 5: Solve for x
    x = 233,011,895.64/21,323.81
  6. Step 6: Final answer
    x = 10,927.31

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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.