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Finding the Fourth Proportional to 21,138.80, 31,713.06 and 6,348.00

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Solution

The fourth proportional to 21,138.80, 31,713.06 and 6,348.00 is: 9,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.80 : 31,713.06 = 6,348.00 : x
  2. Step 2: Convert to fraction form
    21,138.80/31,713.06 = 6,348.00/x
  3. Step 3: Cross multiply
    21,138.80x = 31,713.06 × 6,348.00
  4. Step 4: Simplify right side
    21,138.80x = 201,314,385.96
  5. Step 5: Solve for x
    x = 201,314,385.96/21,138.80
  6. Step 6: Final answer
    x = 9,523.45

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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.