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Finding the Fourth Proportional to 25,978.08, 38,966.40 and 8,443.20

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Solution

The fourth proportional to 25,978.08, 38,966.40 and 8,443.20 is: 12,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.08 : 38,966.40 = 8,443.20 : x
  2. Step 2: Convert to fraction form
    25,978.08/38,966.40 = 8,443.20/x
  3. Step 3: Cross multiply
    25,978.08x = 38,966.40 × 8,443.20
  4. Step 4: Simplify right side
    25,978.08x = 329,001,108.48
  5. Step 5: Solve for x
    x = 329,001,108.48/25,978.08
  6. Step 6: Final answer
    x = 12,664.57

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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.