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Finding the Fourth Proportional to 3,106, 4,655.20 and 1,460.36

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Solution

The fourth proportional to 3,106, 4,655.20 and 1,460.36 is: 2,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 4,655.20 = 1,460.36 : x
  2. Step 2: Convert to fraction form
    3,106/4,655.20 = 1,460.36/x
  3. Step 3: Cross multiply
    3,106x = 4,655.20 × 1,460.36
  4. Step 4: Simplify right side
    3,106x = 6,798,267.87
  5. Step 5: Solve for x
    x = 6,798,267.87/3,106
  6. Step 6: Final answer
    x = 2,188.75

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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.