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Finding the Fourth Proportional to 2,990.74, 4,487.01 and 1,530.91

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Solution

The fourth proportional to 2,990.74, 4,487.01 and 1,530.91 is: 2,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.74 : 4,487.01 = 1,530.91 : x
  2. Step 2: Convert to fraction form
    2,990.74/4,487.01 = 1,530.91/x
  3. Step 3: Cross multiply
    2,990.74x = 4,487.01 × 1,530.91
  4. Step 4: Simplify right side
    2,990.74x = 6,869,208.48
  5. Step 5: Solve for x
    x = 6,869,208.48/2,990.74
  6. Step 6: Final answer
    x = 2,296.83

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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.