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Finding the Fourth Proportional to 6,880.61, 10,307.66 and 4,109.50

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Solution

The fourth proportional to 6,880.61, 10,307.66 and 4,109.50 is: 6,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.61 : 10,307.66 = 4,109.50 : x
  2. Step 2: Convert to fraction form
    6,880.61/10,307.66 = 4,109.50/x
  3. Step 3: Cross multiply
    6,880.61x = 10,307.66 × 4,109.50
  4. Step 4: Simplify right side
    6,880.61x = 42,359,321.11
  5. Step 5: Solve for x
    x = 42,359,321.11/6,880.61
  6. Step 6: Final answer
    x = 6,156.33

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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.