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Finding the Fourth Proportional to 8,762.30, 13,139.40 and 3,829.40

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Solution

The fourth proportional to 8,762.30, 13,139.40 and 3,829.40 is: 5,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.30 : 13,139.40 = 3,829.40 : x
  2. Step 2: Convert to fraction form
    8,762.30/13,139.40 = 3,829.40/x
  3. Step 3: Cross multiply
    8,762.30x = 13,139.40 × 3,829.40
  4. Step 4: Simplify right side
    8,762.30x = 50,316,018.36
  5. Step 5: Solve for x
    x = 50,316,018.36/8,762.30
  6. Step 6: Final answer
    x = 5,742.33

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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.