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Finding the Fourth Proportional to 19,509.80, 29,283.90 and 9,660.20

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Solution

The fourth proportional to 19,509.80, 29,283.90 and 9,660.20 is: 14,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.80 : 29,283.90 = 9,660.20 : x
  2. Step 2: Convert to fraction form
    19,509.80/29,283.90 = 9,660.20/x
  3. Step 3: Cross multiply
    19,509.80x = 29,283.90 × 9,660.20
  4. Step 4: Simplify right side
    19,509.80x = 282,888,330.78
  5. Step 5: Solve for x
    x = 282,888,330.78/19,509.80
  6. Step 6: Final answer
    x = 14,499.81

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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.