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Finding the Fourth Proportional to 9,783.40, 14,660.70 and 8,314.60

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Solution

The fourth proportional to 9,783.40, 14,660.70 and 8,314.60 is: 12,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.40 : 14,660.70 = 8,314.60 : x
  2. Step 2: Convert to fraction form
    9,783.40/14,660.70 = 8,314.60/x
  3. Step 3: Cross multiply
    9,783.40x = 14,660.70 × 8,314.60
  4. Step 4: Simplify right side
    9,783.40x = 121,897,856.22
  5. Step 5: Solve for x
    x = 121,897,856.22/9,783.40
  6. Step 6: Final answer
    x = 12,459.66

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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.