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Finding the Fourth Proportional to 8,638.76, 11,922.64 and 6,407.01

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Solution

The fourth proportional to 8,638.76, 11,922.64 and 6,407.01 is: 8,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.76 : 11,922.64 = 6,407.01 : x
  2. Step 2: Convert to fraction form
    8,638.76/11,922.64 = 6,407.01/x
  3. Step 3: Cross multiply
    8,638.76x = 11,922.64 × 6,407.01
  4. Step 4: Simplify right side
    8,638.76x = 76,388,457.69
  5. Step 5: Solve for x
    x = 76,388,457.69/8,638.76
  6. Step 6: Final answer
    x = 8,842.52

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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.