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Finding the Fourth Proportional to 20,788.31, 31,163.02 and 7,637.15

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Solution

The fourth proportional to 20,788.31, 31,163.02 and 7,637.15 is: 11,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788.31 : 31,163.02 = 7,637.15 : x
  2. Step 2: Convert to fraction form
    20,788.31/31,163.02 = 7,637.15/x
  3. Step 3: Cross multiply
    20,788.31x = 31,163.02 × 7,637.15
  4. Step 4: Simplify right side
    20,788.31x = 237,996,483.29
  5. Step 5: Solve for x
    x = 237,996,483.29/20,788.31
  6. Step 6: Final answer
    x = 11,448.58

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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.