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Finding the Fourth Proportional to 9,314.40, 13,971.60 and 8,374.80

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Solution

The fourth proportional to 9,314.40, 13,971.60 and 8,374.80 is: 12,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.40 : 13,971.60 = 8,374.80 : x
  2. Step 2: Convert to fraction form
    9,314.40/13,971.60 = 8,374.80/x
  3. Step 3: Cross multiply
    9,314.40x = 13,971.60 × 8,374.80
  4. Step 4: Simplify right side
    9,314.40x = 117,009,355.68
  5. Step 5: Solve for x
    x = 117,009,355.68/9,314.40
  6. Step 6: Final answer
    x = 12,562.20

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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.