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Finding the Fourth Proportional to 14,692.80, 22,039.20 and 7,780.80

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Solution

The fourth proportional to 14,692.80, 22,039.20 and 7,780.80 is: 11,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.80 : 22,039.20 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    14,692.80/22,039.20 = 7,780.80/x
  3. Step 3: Cross multiply
    14,692.80x = 22,039.20 × 7,780.80
  4. Step 4: Simplify right side
    14,692.80x = 171,482,607.36
  5. Step 5: Solve for x
    x = 171,482,607.36/14,692.80
  6. Step 6: Final answer
    x = 11,671.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.