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Finding the Fourth Proportional to 21,614.76, 29,828.36 and 11,678.76

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Solution

The fourth proportional to 21,614.76, 29,828.36 and 11,678.76 is: 16,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.76 : 29,828.36 = 11,678.76 : x
  2. Step 2: Convert to fraction form
    21,614.76/29,828.36 = 11,678.76/x
  3. Step 3: Cross multiply
    21,614.76x = 29,828.36 × 11,678.76
  4. Step 4: Simplify right side
    21,614.76x = 348,358,257.63
  5. Step 5: Solve for x
    x = 348,358,257.63/21,614.76
  6. Step 6: Final answer
    x = 16,116.68

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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.