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Finding the Fourth Proportional to 21,159.49, 31,732.85 and 6,364.48

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Solution

The fourth proportional to 21,159.49, 31,732.85 and 6,364.48 is: 9,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.49 : 31,732.85 = 6,364.48 : x
  2. Step 2: Convert to fraction form
    21,159.49/31,732.85 = 6,364.48/x
  3. Step 3: Cross multiply
    21,159.49x = 31,732.85 × 6,364.48
  4. Step 4: Simplify right side
    21,159.49x = 201,963,057.35
  5. Step 5: Solve for x
    x = 201,963,057.35/21,159.49
  6. Step 6: Final answer
    x = 9,544.80

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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.