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Finding the Fourth Proportional to 11,653, 16,076.58 and 7,676.20

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Solution

The fourth proportional to 11,653, 16,076.58 and 7,676.20 is: 10,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653 : 16,076.58 = 7,676.20 : x
  2. Step 2: Convert to fraction form
    11,653/16,076.58 = 7,676.20/x
  3. Step 3: Cross multiply
    11,653x = 16,076.58 × 7,676.20
  4. Step 4: Simplify right side
    11,653x = 123,407,043.40
  5. Step 5: Solve for x
    x = 123,407,043.40/11,653
  6. Step 6: Final answer
    x = 10,590.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.