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Finding the Fourth Proportional to 10,762.31, 16,142.16 and 2,865.40

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Solution

The fourth proportional to 10,762.31, 16,142.16 and 2,865.40 is: 4,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.31 : 16,142.16 = 2,865.40 : x
  2. Step 2: Convert to fraction form
    10,762.31/16,142.16 = 2,865.40/x
  3. Step 3: Cross multiply
    10,762.31x = 16,142.16 × 2,865.40
  4. Step 4: Simplify right side
    10,762.31x = 46,253,745.26
  5. Step 5: Solve for x
    x = 46,253,745.26/10,762.31
  6. Step 6: Final answer
    x = 4,297.75

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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.