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Finding the Fourth Proportional to 8,805.81, 13,210.80 and 2,565.98

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Solution

The fourth proportional to 8,805.81, 13,210.80 and 2,565.98 is: 3,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,805.81 : 13,210.80 = 2,565.98 : x
  2. Step 2: Convert to fraction form
    8,805.81/13,210.80 = 2,565.98/x
  3. Step 3: Cross multiply
    8,805.81x = 13,210.80 × 2,565.98
  4. Step 4: Simplify right side
    8,805.81x = 33,898,622.45
  5. Step 5: Solve for x
    x = 33,898,622.45/8,805.81
  6. Step 6: Final answer
    x = 3,849.57

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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.