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Finding the Fourth Proportional to 19,769.20, 29,653.80 and 19,423.60

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Solution

The fourth proportional to 19,769.20, 29,653.80 and 19,423.60 is: 29,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.20 : 29,653.80 = 19,423.60 : x
  2. Step 2: Convert to fraction form
    19,769.20/29,653.80 = 19,423.60/x
  3. Step 3: Cross multiply
    19,769.20x = 29,653.80 × 19,423.60
  4. Step 4: Simplify right side
    19,769.20x = 575,983,549.68
  5. Step 5: Solve for x
    x = 575,983,549.68/19,769.20
  6. Step 6: Final answer
    x = 29,135.40

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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.