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Finding the Fourth Proportional to 15,726.76, 21,712.74 and 9,764.68

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Solution

The fourth proportional to 15,726.76, 21,712.74 and 9,764.68 is: 13,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.76 : 21,712.74 = 9,764.68 : x
  2. Step 2: Convert to fraction form
    15,726.76/21,712.74 = 9,764.68/x
  3. Step 3: Cross multiply
    15,726.76x = 21,712.74 × 9,764.68
  4. Step 4: Simplify right side
    15,726.76x = 212,017,958.02
  5. Step 5: Solve for x
    x = 212,017,958.02/15,726.76
  6. Step 6: Final answer
    x = 13,481.35

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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.