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Finding the Fourth Proportional to 30,159.68, 41,622 and 19,558.40

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Solution

The fourth proportional to 30,159.68, 41,622 and 19,558.40 is: 26,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159.68 : 41,622 = 19,558.40 : x
  2. Step 2: Convert to fraction form
    30,159.68/41,622 = 19,558.40/x
  3. Step 3: Cross multiply
    30,159.68x = 41,622 × 19,558.40
  4. Step 4: Simplify right side
    30,159.68x = 814,059,724.80
  5. Step 5: Solve for x
    x = 814,059,724.80/30,159.68
  6. Step 6: Final answer
    x = 26,991.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.