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Finding the Fourth Proportional to 22,692.60, 31,315.50 and 12,621

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Solution

The fourth proportional to 22,692.60, 31,315.50 and 12,621 is: 17,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.60 : 31,315.50 = 12,621 : x
  2. Step 2: Convert to fraction form
    22,692.60/31,315.50 = 12,621/x
  3. Step 3: Cross multiply
    22,692.60x = 31,315.50 × 12,621
  4. Step 4: Simplify right side
    22,692.60x = 395,232,925.50
  5. Step 5: Solve for x
    x = 395,232,925.50/22,692.60
  6. Step 6: Final answer
    x = 17,416.82

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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.