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Finding the Fourth Proportional to 10,615, 15,923.16 and 2,823.64

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Solution

The fourth proportional to 10,615, 15,923.16 and 2,823.64 is: 4,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615 : 15,923.16 = 2,823.64 : x
  2. Step 2: Convert to fraction form
    10,615/15,923.16 = 2,823.64/x
  3. Step 3: Cross multiply
    10,615x = 15,923.16 × 2,823.64
  4. Step 4: Simplify right side
    10,615x = 44,961,271.50
  5. Step 5: Solve for x
    x = 44,961,271.50/10,615
  6. Step 6: Final answer
    x = 4,235.64

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Double scale
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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.