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Finding the Fourth Proportional to 4,395, 6,066.54 and 3,156.60

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Solution

The fourth proportional to 4,395, 6,066.54 and 3,156.60 is: 4,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395 : 6,066.54 = 3,156.60 : x
  2. Step 2: Convert to fraction form
    4,395/6,066.54 = 3,156.60/x
  3. Step 3: Cross multiply
    4,395x = 6,066.54 × 3,156.60
  4. Step 4: Simplify right side
    4,395x = 19,149,640.16
  5. Step 5: Solve for x
    x = 19,149,640.16/4,395
  6. Step 6: Final answer
    x = 4,357.14

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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.