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Finding the Fourth Proportional to 7,083, 10,620 and 3,386.16

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Solution

The fourth proportional to 7,083, 10,620 and 3,386.16 is: 5,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 10,620 = 3,386.16 : x
  2. Step 2: Convert to fraction form
    7,083/10,620 = 3,386.16/x
  3. Step 3: Cross multiply
    7,083x = 10,620 × 3,386.16
  4. Step 4: Simplify right side
    7,083x = 35,961,019.20
  5. Step 5: Solve for x
    x = 35,961,019.20/7,083
  6. Step 6: Final answer
    x = 5,077.09

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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.