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Finding the Fourth Proportional to 8,357.22, 12,537 and 2,809.32

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Solution

The fourth proportional to 8,357.22, 12,537 and 2,809.32 is: 4,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.22 : 12,537 = 2,809.32 : x
  2. Step 2: Convert to fraction form
    8,357.22/12,537 = 2,809.32/x
  3. Step 3: Cross multiply
    8,357.22x = 12,537 × 2,809.32
  4. Step 4: Simplify right side
    8,357.22x = 35,220,444.84
  5. Step 5: Solve for x
    x = 35,220,444.84/8,357.22
  6. Step 6: Final answer
    x = 4,214.37

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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.