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Finding the Fourth Proportional to 4,394, 6,065.16 and 3,155.60

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Solution

The fourth proportional to 4,394, 6,065.16 and 3,155.60 is: 4,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394 : 6,065.16 = 3,155.60 : x
  2. Step 2: Convert to fraction form
    4,394/6,065.16 = 3,155.60/x
  3. Step 3: Cross multiply
    4,394x = 6,065.16 × 3,155.60
  4. Step 4: Simplify right side
    4,394x = 19,139,218.90
  5. Step 5: Solve for x
    x = 19,139,218.90/4,394
  6. Step 6: Final answer
    x = 4,355.76

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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.