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Finding the Fourth Proportional to 21,300.75, 31,952.73 and 6,510.75

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Solution

The fourth proportional to 21,300.75, 31,952.73 and 6,510.75 is: 9,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,300.75 : 31,952.73 = 6,510.75 : x
  2. Step 2: Convert to fraction form
    21,300.75/31,952.73 = 6,510.75/x
  3. Step 3: Cross multiply
    21,300.75x = 31,952.73 × 6,510.75
  4. Step 4: Simplify right side
    21,300.75x = 208,036,236.85
  5. Step 5: Solve for x
    x = 208,036,236.85/21,300.75
  6. Step 6: Final answer
    x = 9,766.62

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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.