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Finding the Fourth Proportional to 34,264, 47,284.32 and 19,360

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Solution

The fourth proportional to 34,264, 47,284.32 and 19,360 is: 26,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264 : 47,284.32 = 19,360 : x
  2. Step 2: Convert to fraction form
    34,264/47,284.32 = 19,360/x
  3. Step 3: Cross multiply
    34,264x = 47,284.32 × 19,360
  4. Step 4: Simplify right side
    34,264x = 915,424,435.20
  5. Step 5: Solve for x
    x = 915,424,435.20/34,264
  6. Step 6: Final answer
    x = 26,716.80

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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.