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Finding the Fourth Proportional to 10,357.80, 15,536.70 and 3,784.20

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Solution

The fourth proportional to 10,357.80, 15,536.70 and 3,784.20 is: 5,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.80 : 15,536.70 = 3,784.20 : x
  2. Step 2: Convert to fraction form
    10,357.80/15,536.70 = 3,784.20/x
  3. Step 3: Cross multiply
    10,357.80x = 15,536.70 × 3,784.20
  4. Step 4: Simplify right side
    10,357.80x = 58,793,980.14
  5. Step 5: Solve for x
    x = 58,793,980.14/10,357.80
  6. Step 6: Final answer
    x = 5,676.30

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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.