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Finding the Fourth Proportional to 2,530.68, 3,795.87 and 971.43

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Solution

The fourth proportional to 2,530.68, 3,795.87 and 971.43 is: 1,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.68 : 3,795.87 = 971.43 : x
  2. Step 2: Convert to fraction form
    2,530.68/3,795.87 = 971.43/x
  3. Step 3: Cross multiply
    2,530.68x = 3,795.87 × 971.43
  4. Step 4: Simplify right side
    2,530.68x = 3,687,421.99
  5. Step 5: Solve for x
    x = 3,687,421.99/2,530.68
  6. Step 6: Final answer
    x = 1,457.09

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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.