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Finding the Fourth Proportional to 34,382, 47,447.16 and 19,478

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Solution

The fourth proportional to 34,382, 47,447.16 and 19,478 is: 26,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382 : 47,447.16 = 19,478 : x
  2. Step 2: Convert to fraction form
    34,382/47,447.16 = 19,478/x
  3. Step 3: Cross multiply
    34,382x = 47,447.16 × 19,478
  4. Step 4: Simplify right side
    34,382x = 924,175,782.48
  5. Step 5: Solve for x
    x = 924,175,782.48/34,382
  6. Step 6: Final answer
    x = 26,879.64

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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.