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Finding the Fourth Proportional to 15,780, 23,680.80 and 10,219.52

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Solution

The fourth proportional to 15,780, 23,680.80 and 10,219.52 is: 15,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780 : 23,680.80 = 10,219.52 : x
  2. Step 2: Convert to fraction form
    15,780/23,680.80 = 10,219.52/x
  3. Step 3: Cross multiply
    15,780x = 23,680.80 × 10,219.52
  4. Step 4: Simplify right side
    15,780x = 242,006,409.22
  5. Step 5: Solve for x
    x = 242,006,409.22/15,780
  6. Step 6: Final answer
    x = 15,336.27

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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.