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Finding the Fourth Proportional to 8,430.68, 12,629.08 and 4,201.18

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Solution

The fourth proportional to 8,430.68, 12,629.08 and 4,201.18 is: 6,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.68 : 12,629.08 = 4,201.18 : x
  2. Step 2: Convert to fraction form
    8,430.68/12,629.08 = 4,201.18/x
  3. Step 3: Cross multiply
    8,430.68x = 12,629.08 × 4,201.18
  4. Step 4: Simplify right side
    8,430.68x = 53,057,038.31
  5. Step 5: Solve for x
    x = 53,057,038.31/8,430.68
  6. Step 6: Final answer
    x = 6,293.33

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1.5x scale

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.