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Finding the Fourth Proportional to 6,615.85, 9,130.14 and 3,783.69

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Solution

The fourth proportional to 6,615.85, 9,130.14 and 3,783.69 is: 5,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.85 : 9,130.14 = 3,783.69 : x
  2. Step 2: Convert to fraction form
    6,615.85/9,130.14 = 3,783.69/x
  3. Step 3: Cross multiply
    6,615.85x = 9,130.14 × 3,783.69
  4. Step 4: Simplify right side
    6,615.85x = 34,545,619.42
  5. Step 5: Solve for x
    x = 34,545,619.42/6,615.85
  6. Step 6: Final answer
    x = 5,221.64

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1.5x scale

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.