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Finding the Fourth Proportional to 2,528, 3,789.40 and 967.63

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Solution

The fourth proportional to 2,528, 3,789.40 and 967.63 is: 1,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528 : 3,789.40 = 967.63 : x
  2. Step 2: Convert to fraction form
    2,528/3,789.40 = 967.63/x
  3. Step 3: Cross multiply
    2,528x = 3,789.40 × 967.63
  4. Step 4: Simplify right side
    2,528x = 3,666,737.12
  5. Step 5: Solve for x
    x = 3,666,737.12/2,528
  6. Step 6: Final answer
    x = 1,450.45

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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.