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Finding the Fourth Proportional to 8,430, 12,636.36 and 3,502.50

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Solution

The fourth proportional to 8,430, 12,636.36 and 3,502.50 is: 5,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 12,636.36 = 3,502.50 : x
  2. Step 2: Convert to fraction form
    8,430/12,636.36 = 3,502.50/x
  3. Step 3: Cross multiply
    8,430x = 12,636.36 × 3,502.50
  4. Step 4: Simplify right side
    8,430x = 44,258,850.90
  5. Step 5: Solve for x
    x = 44,258,850.90/8,430
  6. Step 6: Final answer
    x = 5,250.16

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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.