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Finding the Fourth Proportional to 21,563, 29,746.86 and 14,391

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Solution

The fourth proportional to 21,563, 29,746.86 and 14,391 is: 19,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563 : 29,746.86 = 14,391 : x
  2. Step 2: Convert to fraction form
    21,563/29,746.86 = 14,391/x
  3. Step 3: Cross multiply
    21,563x = 29,746.86 × 14,391
  4. Step 4: Simplify right side
    21,563x = 428,087,062.26
  5. Step 5: Solve for x
    x = 428,087,062.26/21,563
  6. Step 6: Final answer
    x = 19,852.85

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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.