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Finding the Fourth Proportional to 47,754.64, 71,627.08 and 12,697.84

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Solution

The fourth proportional to 47,754.64, 71,627.08 and 12,697.84 is: 19,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.64 : 71,627.08 = 12,697.84 : x
  2. Step 2: Convert to fraction form
    47,754.64/71,627.08 = 12,697.84/x
  3. Step 3: Cross multiply
    47,754.64x = 71,627.08 × 12,697.84
  4. Step 4: Simplify right side
    47,754.64x = 909,509,201.51
  5. Step 5: Solve for x
    x = 909,509,201.51/47,754.64
  6. Step 6: Final answer
    x = 19,045.46

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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.