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Finding the Fourth Proportional to 30,644.34, 45,970.83 and 10,917.06

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Solution

The fourth proportional to 30,644.34, 45,970.83 and 10,917.06 is: 16,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.34 : 45,970.83 = 10,917.06 : x
  2. Step 2: Convert to fraction form
    30,644.34/45,970.83 = 10,917.06/x
  3. Step 3: Cross multiply
    30,644.34x = 45,970.83 × 10,917.06
  4. Step 4: Simplify right side
    30,644.34x = 501,866,309.36
  5. Step 5: Solve for x
    x = 501,866,309.36/30,644.34
  6. Step 6: Final answer
    x = 16,377.13

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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.