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Finding the Fourth Proportional to 31,907.84, 47,868.64 and 9,720.64

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Solution

The fourth proportional to 31,907.84, 47,868.64 and 9,720.64 is: 14,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.84 : 47,868.64 = 9,720.64 : x
  2. Step 2: Convert to fraction form
    31,907.84/47,868.64 = 9,720.64/x
  3. Step 3: Cross multiply
    31,907.84x = 47,868.64 × 9,720.64
  4. Step 4: Simplify right side
    31,907.84x = 465,313,816.73
  5. Step 5: Solve for x
    x = 465,313,816.73/31,907.84
  6. Step 6: Final answer
    x = 14,583.06

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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.