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Finding the Fourth Proportional to 31,907.28, 47,860.90 and 8,533.11

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Solution

The fourth proportional to 31,907.28, 47,860.90 and 8,533.11 is: 12,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.28 : 47,860.90 = 8,533.11 : x
  2. Step 2: Convert to fraction form
    31,907.28/47,860.90 = 8,533.11/x
  3. Step 3: Cross multiply
    31,907.28x = 47,860.90 × 8,533.11
  4. Step 4: Simplify right side
    31,907.28x = 408,402,324.40
  5. Step 5: Solve for x
    x = 408,402,324.40/31,907.28
  6. Step 6: Final answer
    x = 12,799.66

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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.