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Finding the Fourth Proportional to 17,970, 26,956.08 and 5,658

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Solution

The fourth proportional to 17,970, 26,956.08 and 5,658 is: 8,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970 : 26,956.08 = 5,658 : x
  2. Step 2: Convert to fraction form
    17,970/26,956.08 = 5,658/x
  3. Step 3: Cross multiply
    17,970x = 26,956.08 × 5,658
  4. Step 4: Simplify right side
    17,970x = 152,517,500.64
  5. Step 5: Solve for x
    x = 152,517,500.64/17,970
  6. Step 6: Final answer
    x = 8,487.34

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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.