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Finding the Fourth Proportional to 34,218, 47,220.84 and 19,314

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Solution

The fourth proportional to 34,218, 47,220.84 and 19,314 is: 26,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,218 : 47,220.84 = 19,314 : x
  2. Step 2: Convert to fraction form
    34,218/47,220.84 = 19,314/x
  3. Step 3: Cross multiply
    34,218x = 47,220.84 × 19,314
  4. Step 4: Simplify right side
    34,218x = 912,023,303.76
  5. Step 5: Solve for x
    x = 912,023,303.76/34,218
  6. Step 6: Final answer
    x = 26,653.32

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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.