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Finding the Fourth Proportional to 22,580.87, 31,155.23 and 13,020

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Solution

The fourth proportional to 22,580.87, 31,155.23 and 13,020 is: 17,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.87 : 31,155.23 = 13,020 : x
  2. Step 2: Convert to fraction form
    22,580.87/31,155.23 = 13,020/x
  3. Step 3: Cross multiply
    22,580.87x = 31,155.23 × 13,020
  4. Step 4: Simplify right side
    22,580.87x = 405,641,029.50
  5. Step 5: Solve for x
    x = 405,641,029.50/22,580.87
  6. Step 6: Final answer
    x = 17,963.93

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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.