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Finding the Fourth Proportional to 12,423, 18,634.35 and 5,027.40

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Solution

The fourth proportional to 12,423, 18,634.35 and 5,027.40 is: 7,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423 : 18,634.35 = 5,027.40 : x
  2. Step 2: Convert to fraction form
    12,423/18,634.35 = 5,027.40/x
  3. Step 3: Cross multiply
    12,423x = 18,634.35 × 5,027.40
  4. Step 4: Simplify right side
    12,423x = 93,682,331.19
  5. Step 5: Solve for x
    x = 93,682,331.19/12,423
  6. Step 6: Final answer
    x = 7,541.04

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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.