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Finding the Fourth Proportional to 3,142.84, 4,715 and 3,090.60

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Solution

The fourth proportional to 3,142.84, 4,715 and 3,090.60 is: 4,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.84 : 4,715 = 3,090.60 : x
  2. Step 2: Convert to fraction form
    3,142.84/4,715 = 3,090.60/x
  3. Step 3: Cross multiply
    3,142.84x = 4,715 × 3,090.60
  4. Step 4: Simplify right side
    3,142.84x = 14,572,179
  5. Step 5: Solve for x
    x = 14,572,179/3,142.84
  6. Step 6: Final answer
    x = 4,636.63

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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.