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Finding the Fourth Proportional to 27,952.31, 38,574.89 and 15,206.21

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Solution

The fourth proportional to 27,952.31, 38,574.89 and 15,206.21 is: 20,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.31 : 38,574.89 = 15,206.21 : x
  2. Step 2: Convert to fraction form
    27,952.31/38,574.89 = 15,206.21/x
  3. Step 3: Cross multiply
    27,952.31x = 38,574.89 × 15,206.21
  4. Step 4: Simplify right side
    27,952.31x = 586,577,810.84
  5. Step 5: Solve for x
    x = 586,577,810.84/27,952.31
  6. Step 6: Final answer
    x = 20,984.95

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