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Finding the Fourth Proportional to 18,423, 25,423.74 and 10,039.50

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Solution

The fourth proportional to 18,423, 25,423.74 and 10,039.50 is: 13,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,423 : 25,423.74 = 10,039.50 : x
  2. Step 2: Convert to fraction form
    18,423/25,423.74 = 10,039.50/x
  3. Step 3: Cross multiply
    18,423x = 25,423.74 × 10,039.50
  4. Step 4: Simplify right side
    18,423x = 255,241,637.73
  5. Step 5: Solve for x
    x = 255,241,637.73/18,423
  6. Step 6: Final answer
    x = 13,854.51

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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.