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Finding the Fourth Proportional to 3,156.66, 4,734.68 and 965.40

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Solution

The fourth proportional to 3,156.66, 4,734.68 and 965.40 is: 1,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.66 : 4,734.68 = 965.40 : x
  2. Step 2: Convert to fraction form
    3,156.66/4,734.68 = 965.40/x
  3. Step 3: Cross multiply
    3,156.66x = 4,734.68 × 965.40
  4. Step 4: Simplify right side
    3,156.66x = 4,570,855.25
  5. Step 5: Solve for x
    x = 4,570,855.25/3,156.66
  6. Step 6: Final answer
    x = 1,448.00

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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.