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Finding the Fourth Proportional to 18,780, 25,916.40 and 10,397.04

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Solution

The fourth proportional to 18,780, 25,916.40 and 10,397.04 is: 14,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780 : 25,916.40 = 10,397.04 : x
  2. Step 2: Convert to fraction form
    18,780/25,916.40 = 10,397.04/x
  3. Step 3: Cross multiply
    18,780x = 25,916.40 × 10,397.04
  4. Step 4: Simplify right side
    18,780x = 269,453,847.46
  5. Step 5: Solve for x
    x = 269,453,847.46/18,780
  6. Step 6: Final answer
    x = 14,347.92

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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.