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Finding the Fourth Proportional to 20,801.81, 31,206.90 and 7,653.89

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Solution

The fourth proportional to 20,801.81, 31,206.90 and 7,653.89 is: 11,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.81 : 31,206.90 = 7,653.89 : x
  2. Step 2: Convert to fraction form
    20,801.81/31,206.90 = 7,653.89/x
  3. Step 3: Cross multiply
    20,801.81x = 31,206.90 × 7,653.89
  4. Step 4: Simplify right side
    20,801.81x = 238,854,023.81
  5. Step 5: Solve for x
    x = 238,854,023.81/20,801.81
  6. Step 6: Final answer
    x = 11,482.37

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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.