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Finding the Fourth Proportional to 21,991.80, 32,963.40 and 9,509.70

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Solution

The fourth proportional to 21,991.80, 32,963.40 and 9,509.70 is: 14,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.80 : 32,963.40 = 9,509.70 : x
  2. Step 2: Convert to fraction form
    21,991.80/32,963.40 = 9,509.70/x
  3. Step 3: Cross multiply
    21,991.80x = 32,963.40 × 9,509.70
  4. Step 4: Simplify right side
    21,991.80x = 313,472,044.98
  5. Step 5: Solve for x
    x = 313,472,044.98/21,991.80
  6. Step 6: Final answer
    x = 14,254.04

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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.