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Finding the Fourth Proportional to 11,480.67, 15,842.90 and 7,011.90

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Solution

The fourth proportional to 11,480.67, 15,842.90 and 7,011.90 is: 9,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.67 : 15,842.90 = 7,011.90 : x
  2. Step 2: Convert to fraction form
    11,480.67/15,842.90 = 7,011.90/x
  3. Step 3: Cross multiply
    11,480.67x = 15,842.90 × 7,011.90
  4. Step 4: Simplify right side
    11,480.67x = 111,088,848.04
  5. Step 5: Solve for x
    x = 111,088,848.04/11,480.67
  6. Step 6: Final answer
    x = 9,676.16

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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.