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Finding the Fourth Proportional to 8,420.96, 12,631.47 and 8,217.98

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Solution

The fourth proportional to 8,420.96, 12,631.47 and 8,217.98 is: 12,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.96 : 12,631.47 = 8,217.98 : x
  2. Step 2: Convert to fraction form
    8,420.96/12,631.47 = 8,217.98/x
  3. Step 3: Cross multiply
    8,420.96x = 12,631.47 × 8,217.98
  4. Step 4: Simplify right side
    8,420.96x = 103,805,167.83
  5. Step 5: Solve for x
    x = 103,805,167.83/8,420.96
  6. Step 6: Final answer
    x = 12,327.00

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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.