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Finding the Fourth Proportional to 5,913.40, 8,159.02 and 3,815

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Solution

The fourth proportional to 5,913.40, 8,159.02 and 3,815 is: 5,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.40 : 8,159.02 = 3,815 : x
  2. Step 2: Convert to fraction form
    5,913.40/8,159.02 = 3,815/x
  3. Step 3: Cross multiply
    5,913.40x = 8,159.02 × 3,815
  4. Step 4: Simplify right side
    5,913.40x = 31,126,661.30
  5. Step 5: Solve for x
    x = 31,126,661.30/5,913.40
  6. Step 6: Final answer
    x = 5,263.75

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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.