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Finding the Fourth Proportional to 6,617, 9,139.14 and 4,405.16

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Solution

The fourth proportional to 6,617, 9,139.14 and 4,405.16 is: 6,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617 : 9,139.14 = 4,405.16 : x
  2. Step 2: Convert to fraction form
    6,617/9,139.14 = 4,405.16/x
  3. Step 3: Cross multiply
    6,617x = 9,139.14 × 4,405.16
  4. Step 4: Simplify right side
    6,617x = 40,259,373.96
  5. Step 5: Solve for x
    x = 40,259,373.96/6,617
  6. Step 6: Final answer
    x = 6,084.23

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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.