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Finding the Fourth Proportional to 19,661.64, 29,473.02 and 9,786.12

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Solution

The fourth proportional to 19,661.64, 29,473.02 and 9,786.12 is: 14,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.64 : 29,473.02 = 9,786.12 : x
  2. Step 2: Convert to fraction form
    19,661.64/29,473.02 = 9,786.12/x
  3. Step 3: Cross multiply
    19,661.64x = 29,473.02 × 9,786.12
  4. Step 4: Simplify right side
    19,661.64x = 288,426,510.48
  5. Step 5: Solve for x
    x = 288,426,510.48/19,661.64
  6. Step 6: Final answer
    x = 14,669.50

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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.