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Finding the Fourth Proportional to 21,294, 29,385.72 and 11,862.36

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Solution

The fourth proportional to 21,294, 29,385.72 and 11,862.36 is: 16,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294 : 29,385.72 = 11,862.36 : x
  2. Step 2: Convert to fraction form
    21,294/29,385.72 = 11,862.36/x
  3. Step 3: Cross multiply
    21,294x = 29,385.72 × 11,862.36
  4. Step 4: Simplify right side
    21,294x = 348,583,989.50
  5. Step 5: Solve for x
    x = 348,583,989.50/21,294
  6. Step 6: Final answer
    x = 16,370.06

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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.