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Finding the Fourth Proportional to 10,614.40, 15,928.80 and 6,907.60

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Solution

The fourth proportional to 10,614.40, 15,928.80 and 6,907.60 is: 10,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.40 : 15,928.80 = 6,907.60 : x
  2. Step 2: Convert to fraction form
    10,614.40/15,928.80 = 6,907.60/x
  3. Step 3: Cross multiply
    10,614.40x = 15,928.80 × 6,907.60
  4. Step 4: Simplify right side
    10,614.40x = 110,029,778.88
  5. Step 5: Solve for x
    x = 110,029,778.88/10,614.40
  6. Step 6: Final answer
    x = 10,366.09

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1.5x scale

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.