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Finding the Fourth Proportional to 15,754.48, 21,744.88 and 9,790.64

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Solution

The fourth proportional to 15,754.48, 21,744.88 and 9,790.64 is: 13,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.48 : 21,744.88 = 9,790.64 : x
  2. Step 2: Convert to fraction form
    15,754.48/21,744.88 = 9,790.64/x
  3. Step 3: Cross multiply
    15,754.48x = 21,744.88 × 9,790.64
  4. Step 4: Simplify right side
    15,754.48x = 212,896,291.92
  5. Step 5: Solve for x
    x = 212,896,291.92/15,754.48
  6. Step 6: Final answer
    x = 13,513.38

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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.