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Finding the Fourth Proportional to 31,375.88, 47,050 and 14,740.64

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Solution

The fourth proportional to 31,375.88, 47,050 and 14,740.64 is: 22,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.88 : 47,050 = 14,740.64 : x
  2. Step 2: Convert to fraction form
    31,375.88/47,050 = 14,740.64/x
  3. Step 3: Cross multiply
    31,375.88x = 47,050 × 14,740.64
  4. Step 4: Simplify right side
    31,375.88x = 693,547,112
  5. Step 5: Solve for x
    x = 693,547,112/31,375.88
  6. Step 6: Final answer
    x = 22,104.47

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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.