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Finding the Fourth Proportional to 12,259.20, 16,922.88 and 7,783.20

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Solution

The fourth proportional to 12,259.20, 16,922.88 and 7,783.20 is: 10,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.20 : 16,922.88 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    12,259.20/16,922.88 = 7,783.20/x
  3. Step 3: Cross multiply
    12,259.20x = 16,922.88 × 7,783.20
  4. Step 4: Simplify right side
    12,259.20x = 131,714,159.62
  5. Step 5: Solve for x
    x = 131,714,159.62/12,259.20
  6. Step 6: Final answer
    x = 10,744.11

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1.5x scale

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.