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Finding the Fourth Proportional to 10,007.88, 13,794.91 and 7,880.04

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Solution

The fourth proportional to 10,007.88, 13,794.91 and 7,880.04 is: 10,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.88 : 13,794.91 = 7,880.04 : x
  2. Step 2: Convert to fraction form
    10,007.88/13,794.91 = 7,880.04/x
  3. Step 3: Cross multiply
    10,007.88x = 13,794.91 × 7,880.04
  4. Step 4: Simplify right side
    10,007.88x = 108,704,442.60
  5. Step 5: Solve for x
    x = 108,704,442.60/10,007.88
  6. Step 6: Final answer
    x = 10,861.89

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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.