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Finding the Fourth Proportional to 21,643, 29,868.06 and 13,257.88

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Solution

The fourth proportional to 21,643, 29,868.06 and 13,257.88 is: 18,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643 : 29,868.06 = 13,257.88 : x
  2. Step 2: Convert to fraction form
    21,643/29,868.06 = 13,257.88/x
  3. Step 3: Cross multiply
    21,643x = 29,868.06 × 13,257.88
  4. Step 4: Simplify right side
    21,643x = 395,987,155.31
  5. Step 5: Solve for x
    x = 395,987,155.31/21,643
  6. Step 6: Final answer
    x = 18,296.32

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1.5x scale

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.