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Finding the Fourth Proportional to 8,405, 11,605.38 and 6,645.68

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Solution

The fourth proportional to 8,405, 11,605.38 and 6,645.68 is: 9,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405 : 11,605.38 = 6,645.68 : x
  2. Step 2: Convert to fraction form
    8,405/11,605.38 = 6,645.68/x
  3. Step 3: Cross multiply
    8,405x = 11,605.38 × 6,645.68
  4. Step 4: Simplify right side
    8,405x = 77,125,641.76
  5. Step 5: Solve for x
    x = 77,125,641.76/8,405
  6. Step 6: Final answer
    x = 9,176.16

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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.