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Finding the Fourth Proportional to 10,793.60, 16,180.80 and 6,406.40

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Solution

The fourth proportional to 10,793.60, 16,180.80 and 6,406.40 is: 9,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.60 : 16,180.80 = 6,406.40 : x
  2. Step 2: Convert to fraction form
    10,793.60/16,180.80 = 6,406.40/x
  3. Step 3: Cross multiply
    10,793.60x = 16,180.80 × 6,406.40
  4. Step 4: Simplify right side
    10,793.60x = 103,660,677.12
  5. Step 5: Solve for x
    x = 103,660,677.12/10,793.60
  6. Step 6: Final answer
    x = 9,603.90

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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.