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Finding the Fourth Proportional to 8,430.85, 12,638.43 and 3,748.40

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Solution

The fourth proportional to 8,430.85, 12,638.43 and 3,748.40 is: 5,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.85 : 12,638.43 = 3,748.40 : x
  2. Step 2: Convert to fraction form
    8,430.85/12,638.43 = 3,748.40/x
  3. Step 3: Cross multiply
    8,430.85x = 12,638.43 × 3,748.40
  4. Step 4: Simplify right side
    8,430.85x = 47,373,891.01
  5. Step 5: Solve for x
    x = 47,373,891.01/8,430.85
  6. Step 6: Final answer
    x = 5,619.11

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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.