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Finding the Fourth Proportional to 2,281.09, 3,421.68 and 637.65

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Solution

The fourth proportional to 2,281.09, 3,421.68 and 637.65 is: 956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.09 : 3,421.68 = 637.65 : x
  2. Step 2: Convert to fraction form
    2,281.09/3,421.68 = 637.65/x
  3. Step 3: Cross multiply
    2,281.09x = 3,421.68 × 637.65
  4. Step 4: Simplify right side
    2,281.09x = 2,181,834.25
  5. Step 5: Solve for x
    x = 2,181,834.25/2,281.09
  6. Step 6: Final answer
    x = 956.49

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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.