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Finding the Fourth Proportional to 31,375.72, 47,070.78 and 12,907.72

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Solution

The fourth proportional to 31,375.72, 47,070.78 and 12,907.72 is: 19,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.72 : 47,070.78 = 12,907.72 : x
  2. Step 2: Convert to fraction form
    31,375.72/47,070.78 = 12,907.72/x
  3. Step 3: Cross multiply
    31,375.72x = 47,070.78 × 12,907.72
  4. Step 4: Simplify right side
    31,375.72x = 607,576,448.42
  5. Step 5: Solve for x
    x = 607,576,448.42/31,375.72
  6. Step 6: Final answer
    x = 19,364.54

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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.