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Finding the Fourth Proportional to 14,809.20, 22,177.80 and 7,868.40

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Solution

The fourth proportional to 14,809.20, 22,177.80 and 7,868.40 is: 11,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.20 : 22,177.80 = 7,868.40 : x
  2. Step 2: Convert to fraction form
    14,809.20/22,177.80 = 7,868.40/x
  3. Step 3: Cross multiply
    14,809.20x = 22,177.80 × 7,868.40
  4. Step 4: Simplify right side
    14,809.20x = 174,503,801.52
  5. Step 5: Solve for x
    x = 174,503,801.52/14,809.20
  6. Step 6: Final answer
    x = 11,783.47

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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.