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Finding the Fourth Proportional to 28,538.56, 39,384 and 15,964

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Solution

The fourth proportional to 28,538.56, 39,384 and 15,964 is: 22,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.56 : 39,384 = 15,964 : x
  2. Step 2: Convert to fraction form
    28,538.56/39,384 = 15,964/x
  3. Step 3: Cross multiply
    28,538.56x = 39,384 × 15,964
  4. Step 4: Simplify right side
    28,538.56x = 628,726,176
  5. Step 5: Solve for x
    x = 628,726,176/28,538.56
  6. Step 6: Final answer
    x = 22,030.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.