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Finding the Fourth Proportional to 29,970.92, 41,327.46 and 20,417

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Solution

The fourth proportional to 29,970.92, 41,327.46 and 20,417 is: 28,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.92 : 41,327.46 = 20,417 : x
  2. Step 2: Convert to fraction form
    29,970.92/41,327.46 = 20,417/x
  3. Step 3: Cross multiply
    29,970.92x = 41,327.46 × 20,417
  4. Step 4: Simplify right side
    29,970.92x = 843,782,750.82
  5. Step 5: Solve for x
    x = 843,782,750.82/29,970.92
  6. Step 6: Final answer
    x = 28,153.38

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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.