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Finding the Fourth Proportional to 18,780, 25,916.40 and 10,396.56

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Solution

The fourth proportional to 18,780, 25,916.40 and 10,396.56 is: 14,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780 : 25,916.40 = 10,396.56 : x
  2. Step 2: Convert to fraction form
    18,780/25,916.40 = 10,396.56/x
  3. Step 3: Cross multiply
    18,780x = 25,916.40 × 10,396.56
  4. Step 4: Simplify right side
    18,780x = 269,441,407.58
  5. Step 5: Solve for x
    x = 269,441,407.58/18,780
  6. Step 6: Final answer
    x = 14,347.25

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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.