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Finding the Fourth Proportional to 21,798.88, 30,078 and 12,364.96

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Solution

The fourth proportional to 21,798.88, 30,078 and 12,364.96 is: 17,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798.88 : 30,078 = 12,364.96 : x
  2. Step 2: Convert to fraction form
    21,798.88/30,078 = 12,364.96/x
  3. Step 3: Cross multiply
    21,798.88x = 30,078 × 12,364.96
  4. Step 4: Simplify right side
    21,798.88x = 371,913,266.88
  5. Step 5: Solve for x
    x = 371,913,266.88/21,798.88
  6. Step 6: Final answer
    x = 17,061.12

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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.