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Finding the Fourth Proportional to 9,440.10, 13,019.40 and 7,951.50

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Solution

The fourth proportional to 9,440.10, 13,019.40 and 7,951.50 is: 10,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.10 : 13,019.40 = 7,951.50 : x
  2. Step 2: Convert to fraction form
    9,440.10/13,019.40 = 7,951.50/x
  3. Step 3: Cross multiply
    9,440.10x = 13,019.40 × 7,951.50
  4. Step 4: Simplify right side
    9,440.10x = 103,523,759.10
  5. Step 5: Solve for x
    x = 103,523,759.10/9,440.10
  6. Step 6: Final answer
    x = 10,966.38

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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.