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Finding the Fourth Proportional to 8,205.51, 12,309.45 and 2,657.01

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Solution

The fourth proportional to 8,205.51, 12,309.45 and 2,657.01 is: 3,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.51 : 12,309.45 = 2,657.01 : x
  2. Step 2: Convert to fraction form
    8,205.51/12,309.45 = 2,657.01/x
  3. Step 3: Cross multiply
    8,205.51x = 12,309.45 × 2,657.01
  4. Step 4: Simplify right side
    8,205.51x = 32,706,331.74
  5. Step 5: Solve for x
    x = 32,706,331.74/8,205.51
  6. Step 6: Final answer
    x = 3,985.90

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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.