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Finding the Fourth Proportional to 17,830.48, 26,745.72 and 8,590

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Solution

The fourth proportional to 17,830.48, 26,745.72 and 8,590 is: 12,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.48 : 26,745.72 = 8,590 : x
  2. Step 2: Convert to fraction form
    17,830.48/26,745.72 = 8,590/x
  3. Step 3: Cross multiply
    17,830.48x = 26,745.72 × 8,590
  4. Step 4: Simplify right side
    17,830.48x = 229,745,734.80
  5. Step 5: Solve for x
    x = 229,745,734.80/17,830.48
  6. Step 6: Final answer
    x = 12,885.00

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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.