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Finding the Fourth Proportional to 26,471.64, 39,675.06 and 12,423

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Solution

The fourth proportional to 26,471.64, 39,675.06 and 12,423 is: 18,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471.64 : 39,675.06 = 12,423 : x
  2. Step 2: Convert to fraction form
    26,471.64/39,675.06 = 12,423/x
  3. Step 3: Cross multiply
    26,471.64x = 39,675.06 × 12,423
  4. Step 4: Simplify right side
    26,471.64x = 492,883,270.38
  5. Step 5: Solve for x
    x = 492,883,270.38/26,471.64
  6. Step 6: Final answer
    x = 18,619.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.