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Finding the Fourth Proportional to 31,938.32, 47,907.48 and 8,564.15

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Solution

The fourth proportional to 31,938.32, 47,907.48 and 8,564.15 is: 12,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,938.32 : 47,907.48 = 8,564.15 : x
  2. Step 2: Convert to fraction form
    31,938.32/47,907.48 = 8,564.15/x
  3. Step 3: Cross multiply
    31,938.32x = 47,907.48 × 8,564.15
  4. Step 4: Simplify right side
    31,938.32x = 410,286,844.84
  5. Step 5: Solve for x
    x = 410,286,844.84/31,938.32
  6. Step 6: Final answer
    x = 12,846.23

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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.