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Finding the Fourth Proportional to 3,070.47, 4,605.81 and 990.43

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Solution

The fourth proportional to 3,070.47, 4,605.81 and 990.43 is: 1,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.47 : 4,605.81 = 990.43 : x
  2. Step 2: Convert to fraction form
    3,070.47/4,605.81 = 990.43/x
  3. Step 3: Cross multiply
    3,070.47x = 4,605.81 × 990.43
  4. Step 4: Simplify right side
    3,070.47x = 4,561,732.40
  5. Step 5: Solve for x
    x = 4,561,732.40/3,070.47
  6. Step 6: Final answer
    x = 1,485.68

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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.