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Finding the Fourth Proportional to 15,772, 21,760.40 and 9,724.48

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Solution

The fourth proportional to 15,772, 21,760.40 and 9,724.48 is: 13,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772 : 21,760.40 = 9,724.48 : x
  2. Step 2: Convert to fraction form
    15,772/21,760.40 = 9,724.48/x
  3. Step 3: Cross multiply
    15,772x = 21,760.40 × 9,724.48
  4. Step 4: Simplify right side
    15,772x = 211,608,574.59
  5. Step 5: Solve for x
    x = 211,608,574.59/15,772
  6. Step 6: Final answer
    x = 13,416.72

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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.