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Finding the Fourth Proportional to 9,355.98, 12,906.63 and 6,123.90

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Solution

The fourth proportional to 9,355.98, 12,906.63 and 6,123.90 is: 8,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.98 : 12,906.63 = 6,123.90 : x
  2. Step 2: Convert to fraction form
    9,355.98/12,906.63 = 6,123.90/x
  3. Step 3: Cross multiply
    9,355.98x = 12,906.63 × 6,123.90
  4. Step 4: Simplify right side
    9,355.98x = 79,038,911.46
  5. Step 5: Solve for x
    x = 79,038,911.46/9,355.98
  6. Step 6: Final answer
    x = 8,447.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.