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Finding the Fourth Proportional to 20,801.00, 31,201.41 and 9,701.51

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Solution

The fourth proportional to 20,801.00, 31,201.41 and 9,701.51 is: 14,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.00 : 31,201.41 = 9,701.51 : x
  2. Step 2: Convert to fraction form
    20,801.00/31,201.41 = 9,701.51/x
  3. Step 3: Cross multiply
    20,801.00x = 31,201.41 × 9,701.51
  4. Step 4: Simplify right side
    20,801.00x = 302,700,869.13
  5. Step 5: Solve for x
    x = 302,700,869.13/20,801.00
  6. Step 6: Final answer
    x = 14,552.23

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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.