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Finding the Fourth Proportional to 9,783.40, 14,646.30 and 9,213.80

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Solution

The fourth proportional to 9,783.40, 14,646.30 and 9,213.80 is: 13,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.40 : 14,646.30 = 9,213.80 : x
  2. Step 2: Convert to fraction form
    9,783.40/14,646.30 = 9,213.80/x
  3. Step 3: Cross multiply
    9,783.40x = 14,646.30 × 9,213.80
  4. Step 4: Simplify right side
    9,783.40x = 134,948,078.94
  5. Step 5: Solve for x
    x = 134,948,078.94/9,783.40
  6. Step 6: Final answer
    x = 13,793.58

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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.