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Finding the Fourth Proportional to 10,854.40, 16,245.60 and 7,884.40

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Solution

The fourth proportional to 10,854.40, 16,245.60 and 7,884.40 is: 11,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.40 : 16,245.60 = 7,884.40 : x
  2. Step 2: Convert to fraction form
    10,854.40/16,245.60 = 7,884.40/x
  3. Step 3: Cross multiply
    10,854.40x = 16,245.60 × 7,884.40
  4. Step 4: Simplify right side
    10,854.40x = 128,086,808.64
  5. Step 5: Solve for x
    x = 128,086,808.64/10,854.40
  6. Step 6: Final answer
    x = 11,800.45

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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.