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Finding the Fourth Proportional to 38,018, 52,464.84 and 21,254.24

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Solution

The fourth proportional to 38,018, 52,464.84 and 21,254.24 is: 29,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018 : 52,464.84 = 21,254.24 : x
  2. Step 2: Convert to fraction form
    38,018/52,464.84 = 21,254.24/x
  3. Step 3: Cross multiply
    38,018x = 52,464.84 × 21,254.24
  4. Step 4: Simplify right side
    38,018x = 1,115,100,300.92
  5. Step 5: Solve for x
    x = 1,115,100,300.92/38,018
  6. Step 6: Final answer
    x = 29,330.85

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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.