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Finding the Fourth Proportional to 21,907.86, 32,830.53 and 16,891.26

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Solution

The fourth proportional to 21,907.86, 32,830.53 and 16,891.26 is: 25,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.86 : 32,830.53 = 16,891.26 : x
  2. Step 2: Convert to fraction form
    21,907.86/32,830.53 = 16,891.26/x
  3. Step 3: Cross multiply
    21,907.86x = 32,830.53 × 16,891.26
  4. Step 4: Simplify right side
    21,907.86x = 554,549,018.17
  5. Step 5: Solve for x
    x = 554,549,018.17/21,907.86
  6. Step 6: Final answer
    x = 25,312.79

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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.