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Finding the Fourth Proportional to 8,347.32, 12,503.22 and 6,779.96

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Solution

The fourth proportional to 8,347.32, 12,503.22 and 6,779.96 is: 10,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.32 : 12,503.22 = 6,779.96 : x
  2. Step 2: Convert to fraction form
    8,347.32/12,503.22 = 6,779.96/x
  3. Step 3: Cross multiply
    8,347.32x = 12,503.22 × 6,779.96
  4. Step 4: Simplify right side
    8,347.32x = 84,771,331.47
  5. Step 5: Solve for x
    x = 84,771,331.47/8,347.32
  6. Step 6: Final answer
    x = 10,155.51

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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.