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Finding the Fourth Proportional to 22,520, 31,077.60 and 12,584

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Solution

The fourth proportional to 22,520, 31,077.60 and 12,584 is: 17,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520 : 31,077.60 = 12,584 : x
  2. Step 2: Convert to fraction form
    22,520/31,077.60 = 12,584/x
  3. Step 3: Cross multiply
    22,520x = 31,077.60 × 12,584
  4. Step 4: Simplify right side
    22,520x = 391,080,518.40
  5. Step 5: Solve for x
    x = 391,080,518.40/22,520
  6. Step 6: Final answer
    x = 17,365.92

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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.