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Finding the Fourth Proportional to 5,615.60, 7,746.50 and 4,286.99

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Solution

The fourth proportional to 5,615.60, 7,746.50 and 4,286.99 is: 5,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.60 : 7,746.50 = 4,286.99 : x
  2. Step 2: Convert to fraction form
    5,615.60/7,746.50 = 4,286.99/x
  3. Step 3: Cross multiply
    5,615.60x = 7,746.50 × 4,286.99
  4. Step 4: Simplify right side
    5,615.60x = 33,209,198.12
  5. Step 5: Solve for x
    x = 33,209,198.12/5,615.60
  6. Step 6: Final answer
    x = 5,913.75

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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.