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Finding the Fourth Proportional to 21,643.80, 29,860 and 14,574.93

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Solution

The fourth proportional to 21,643.80, 29,860 and 14,574.93 is: 20,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.80 : 29,860 = 14,574.93 : x
  2. Step 2: Convert to fraction form
    21,643.80/29,860 = 14,574.93/x
  3. Step 3: Cross multiply
    21,643.80x = 29,860 × 14,574.93
  4. Step 4: Simplify right side
    21,643.80x = 435,207,409.80
  5. Step 5: Solve for x
    x = 435,207,409.80/21,643.80
  6. Step 6: Final answer
    x = 20,107.72

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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.