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Finding the Fourth Proportional to 29,145.78, 40,221.54 and 16,570.50

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Solution

The fourth proportional to 29,145.78, 40,221.54 and 16,570.50 is: 22,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,145.78 : 40,221.54 = 16,570.50 : x
  2. Step 2: Convert to fraction form
    29,145.78/40,221.54 = 16,570.50/x
  3. Step 3: Cross multiply
    29,145.78x = 40,221.54 × 16,570.50
  4. Step 4: Simplify right side
    29,145.78x = 666,491,028.57
  5. Step 5: Solve for x
    x = 666,491,028.57/29,145.78
  6. Step 6: Final answer
    x = 22,867.50

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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.