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Finding the Fourth Proportional to 7,802, 11,703.99 and 2,875.08

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Solution

The fourth proportional to 7,802, 11,703.99 and 2,875.08 is: 4,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 11,703.99 = 2,875.08 : x
  2. Step 2: Convert to fraction form
    7,802/11,703.99 = 2,875.08/x
  3. Step 3: Cross multiply
    7,802x = 11,703.99 × 2,875.08
  4. Step 4: Simplify right side
    7,802x = 33,649,849.05
  5. Step 5: Solve for x
    x = 33,649,849.05/7,802
  6. Step 6: Final answer
    x = 4,312.98

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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.