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Finding the Fourth Proportional to 10,380, 15,570.14 and 3,454.50

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Solution

The fourth proportional to 10,380, 15,570.14 and 3,454.50 is: 5,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 15,570.14 = 3,454.50 : x
  2. Step 2: Convert to fraction form
    10,380/15,570.14 = 3,454.50/x
  3. Step 3: Cross multiply
    10,380x = 15,570.14 × 3,454.50
  4. Step 4: Simplify right side
    10,380x = 53,787,048.63
  5. Step 5: Solve for x
    x = 53,787,048.63/10,380
  6. Step 6: Final answer
    x = 5,181.80

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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.