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Finding the Fourth Proportional to 31,340.64, 47,011.12 and 10,564.32

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Solution

The fourth proportional to 31,340.64, 47,011.12 and 10,564.32 is: 15,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.64 : 47,011.12 = 10,564.32 : x
  2. Step 2: Convert to fraction form
    31,340.64/47,011.12 = 10,564.32/x
  3. Step 3: Cross multiply
    31,340.64x = 47,011.12 × 10,564.32
  4. Step 4: Simplify right side
    31,340.64x = 496,640,515.24
  5. Step 5: Solve for x
    x = 496,640,515.24/31,340.64
  6. Step 6: Final answer
    x = 15,846.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.