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Finding the Fourth Proportional to 22,475, 31,015.50 and 12,539

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Solution

The fourth proportional to 22,475, 31,015.50 and 12,539 is: 17,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475 : 31,015.50 = 12,539 : x
  2. Step 2: Convert to fraction form
    22,475/31,015.50 = 12,539/x
  3. Step 3: Cross multiply
    22,475x = 31,015.50 × 12,539
  4. Step 4: Simplify right side
    22,475x = 388,903,354.50
  5. Step 5: Solve for x
    x = 388,903,354.50/22,475
  6. Step 6: Final answer
    x = 17,303.82

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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.