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Finding the Fourth Proportional to 7,547.82, 11,318.11 and 2,800.72

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Solution

The fourth proportional to 7,547.82, 11,318.11 and 2,800.72 is: 4,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.82 : 11,318.11 = 2,800.72 : x
  2. Step 2: Convert to fraction form
    7,547.82/11,318.11 = 2,800.72/x
  3. Step 3: Cross multiply
    7,547.82x = 11,318.11 × 2,800.72
  4. Step 4: Simplify right side
    7,547.82x = 31,698,807.45
  5. Step 5: Solve for x
    x = 31,698,807.45/7,547.82
  6. Step 6: Final answer
    x = 4,199.73

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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.