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Finding the Fourth Proportional to 19,701.80, 29,571.90 and 9,852.20

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Solution

The fourth proportional to 19,701.80, 29,571.90 and 9,852.20 is: 14,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.80 : 29,571.90 = 9,852.20 : x
  2. Step 2: Convert to fraction form
    19,701.80/29,571.90 = 9,852.20/x
  3. Step 3: Cross multiply
    19,701.80x = 29,571.90 × 9,852.20
  4. Step 4: Simplify right side
    19,701.80x = 291,348,273.18
  5. Step 5: Solve for x
    x = 291,348,273.18/19,701.80
  6. Step 6: Final answer
    x = 14,787.90

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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.