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Finding the Fourth Proportional to 3,070.38, 4,605.60 and 761.88

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Solution

The fourth proportional to 3,070.38, 4,605.60 and 761.88 is: 1,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.38 : 4,605.60 = 761.88 : x
  2. Step 2: Convert to fraction form
    3,070.38/4,605.60 = 761.88/x
  3. Step 3: Cross multiply
    3,070.38x = 4,605.60 × 761.88
  4. Step 4: Simplify right side
    3,070.38x = 3,508,914.53
  5. Step 5: Solve for x
    x = 3,508,914.53/3,070.38
  6. Step 6: Final answer
    x = 1,142.83

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1.5x scale

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.