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Finding the Fourth Proportional to 27,300.76, 37,679.64 and 15,814

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Solution

The fourth proportional to 27,300.76, 37,679.64 and 15,814 is: 21,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.76 : 37,679.64 = 15,814 : x
  2. Step 2: Convert to fraction form
    27,300.76/37,679.64 = 15,814/x
  3. Step 3: Cross multiply
    27,300.76x = 37,679.64 × 15,814
  4. Step 4: Simplify right side
    27,300.76x = 595,865,826.96
  5. Step 5: Solve for x
    x = 595,865,826.96/27,300.76
  6. Step 6: Final answer
    x = 21,825.98

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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.