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Finding the Fourth Proportional to 21,490.98, 29,659.34 and 11,931.76

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Solution

The fourth proportional to 21,490.98, 29,659.34 and 11,931.76 is: 16,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.98 : 29,659.34 = 11,931.76 : x
  2. Step 2: Convert to fraction form
    21,490.98/29,659.34 = 11,931.76/x
  3. Step 3: Cross multiply
    21,490.98x = 29,659.34 × 11,931.76
  4. Step 4: Simplify right side
    21,490.98x = 353,888,126.64
  5. Step 5: Solve for x
    x = 353,888,126.64/21,490.98
  6. Step 6: Final answer
    x = 16,466.82

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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.