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Finding the Fourth Proportional to 7,817.74, 10,779.90 and 6,021.32

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Solution

The fourth proportional to 7,817.74, 10,779.90 and 6,021.32 is: 8,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.74 : 10,779.90 = 6,021.32 : x
  2. Step 2: Convert to fraction form
    7,817.74/10,779.90 = 6,021.32/x
  3. Step 3: Cross multiply
    7,817.74x = 10,779.90 × 6,021.32
  4. Step 4: Simplify right side
    7,817.74x = 64,909,265.57
  5. Step 5: Solve for x
    x = 64,909,265.57/7,817.74
  6. Step 6: Final answer
    x = 8,302.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.