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Finding the Fourth Proportional to 15,760, 21,748.80 and 9,802.88

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Solution

The fourth proportional to 15,760, 21,748.80 and 9,802.88 is: 13,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760 : 21,748.80 = 9,802.88 : x
  2. Step 2: Convert to fraction form
    15,760/21,748.80 = 9,802.88/x
  3. Step 3: Cross multiply
    15,760x = 21,748.80 × 9,802.88
  4. Step 4: Simplify right side
    15,760x = 213,200,876.54
  5. Step 5: Solve for x
    x = 213,200,876.54/15,760
  6. Step 6: Final answer
    x = 13,527.97

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1.5x scale

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.