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Finding the Fourth Proportional to 38,507.16, 57,746.04 and 18,511.12

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Solution

The fourth proportional to 38,507.16, 57,746.04 and 18,511.12 is: 27,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.16 : 57,746.04 = 18,511.12 : x
  2. Step 2: Convert to fraction form
    38,507.16/57,746.04 = 18,511.12/x
  3. Step 3: Cross multiply
    38,507.16x = 57,746.04 × 18,511.12
  4. Step 4: Simplify right side
    38,507.16x = 1,068,943,875.96
  5. Step 5: Solve for x
    x = 1,068,943,875.96/38,507.16
  6. Step 6: Final answer
    x = 27,759.61

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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.