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Finding the Fourth Proportional to 10,676.80, 16,015.20 and 9,899.20

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Solution

The fourth proportional to 10,676.80, 16,015.20 and 9,899.20 is: 14,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.80 : 16,015.20 = 9,899.20 : x
  2. Step 2: Convert to fraction form
    10,676.80/16,015.20 = 9,899.20/x
  3. Step 3: Cross multiply
    10,676.80x = 16,015.20 × 9,899.20
  4. Step 4: Simplify right side
    10,676.80x = 158,537,667.84
  5. Step 5: Solve for x
    x = 158,537,667.84/10,676.80
  6. Step 6: Final answer
    x = 14,848.80

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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.