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Finding the Fourth Proportional to 3,156.98, 4,735.13 and 965.70

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Solution

The fourth proportional to 3,156.98, 4,735.13 and 965.70 is: 1,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.98 : 4,735.13 = 965.70 : x
  2. Step 2: Convert to fraction form
    3,156.98/4,735.13 = 965.70/x
  3. Step 3: Cross multiply
    3,156.98x = 4,735.13 × 965.70
  4. Step 4: Simplify right side
    3,156.98x = 4,572,710.21
  5. Step 5: Solve for x
    x = 4,572,710.21/3,156.98
  6. Step 6: Final answer
    x = 1,448.45

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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.