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Finding the Fourth Proportional to 34,400.32, 47,472 and 19,296.78

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Solution

The fourth proportional to 34,400.32, 47,472 and 19,296.78 is: 26,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.32 : 47,472 = 19,296.78 : x
  2. Step 2: Convert to fraction form
    34,400.32/47,472 = 19,296.78/x
  3. Step 3: Cross multiply
    34,400.32x = 47,472 × 19,296.78
  4. Step 4: Simplify right side
    34,400.32x = 916,056,740.16
  5. Step 5: Solve for x
    x = 916,056,740.16/34,400.32
  6. Step 6: Final answer
    x = 26,629.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.