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Finding the Fourth Proportional to 22,938.63, 34,368.09 and 12,415.91

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Solution

The fourth proportional to 22,938.63, 34,368.09 and 12,415.91 is: 18,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938.63 : 34,368.09 = 12,415.91 : x
  2. Step 2: Convert to fraction form
    22,938.63/34,368.09 = 12,415.91/x
  3. Step 3: Cross multiply
    22,938.63x = 34,368.09 × 12,415.91
  4. Step 4: Simplify right side
    22,938.63x = 426,710,940.47
  5. Step 5: Solve for x
    x = 426,710,940.47/22,938.63
  6. Step 6: Final answer
    x = 18,602.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.