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Finding the Fourth Proportional to 22,509, 31,068.90 and 15,057

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Solution

The fourth proportional to 22,509, 31,068.90 and 15,057 is: 20,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509 : 31,068.90 = 15,057 : x
  2. Step 2: Convert to fraction form
    22,509/31,068.90 = 15,057/x
  3. Step 3: Cross multiply
    22,509x = 31,068.90 × 15,057
  4. Step 4: Simplify right side
    22,509x = 467,804,427.30
  5. Step 5: Solve for x
    x = 467,804,427.30/22,509
  6. Step 6: Final answer
    x = 20,782.99

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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.