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Finding the Fourth Proportional to 8,430.75, 12,616.83 and 6,932.07

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Solution

The fourth proportional to 8,430.75, 12,616.83 and 6,932.07 is: 10,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.75 : 12,616.83 = 6,932.07 : x
  2. Step 2: Convert to fraction form
    8,430.75/12,616.83 = 6,932.07/x
  3. Step 3: Cross multiply
    8,430.75x = 12,616.83 × 6,932.07
  4. Step 4: Simplify right side
    8,430.75x = 87,460,748.74
  5. Step 5: Solve for x
    x = 87,460,748.74/8,430.75
  6. Step 6: Final answer
    x = 10,374.02

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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.