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Finding the Fourth Proportional to 6,225, 8,590.68 and 3,430.68

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Solution

The fourth proportional to 6,225, 8,590.68 and 3,430.68 is: 4,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225 : 8,590.68 = 3,430.68 : x
  2. Step 2: Convert to fraction form
    6,225/8,590.68 = 3,430.68/x
  3. Step 3: Cross multiply
    6,225x = 8,590.68 × 3,430.68
  4. Step 4: Simplify right side
    6,225x = 29,471,874.06
  5. Step 5: Solve for x
    x = 29,471,874.06/6,225
  6. Step 6: Final answer
    x = 4,734.44

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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.