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Finding the Fourth Proportional to 19,764.40, 29,646.60 and 10,400.80

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Solution

The fourth proportional to 19,764.40, 29,646.60 and 10,400.80 is: 15,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.40 : 29,646.60 = 10,400.80 : x
  2. Step 2: Convert to fraction form
    19,764.40/29,646.60 = 10,400.80/x
  3. Step 3: Cross multiply
    19,764.40x = 29,646.60 × 10,400.80
  4. Step 4: Simplify right side
    19,764.40x = 308,348,357.28
  5. Step 5: Solve for x
    x = 308,348,357.28/19,764.40
  6. Step 6: Final answer
    x = 15,601.20

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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.