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Finding the Fourth Proportional to 2,287.65, 3,430.94 and 988.41

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Solution

The fourth proportional to 2,287.65, 3,430.94 and 988.41 is: 1,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.65 : 3,430.94 = 988.41 : x
  2. Step 2: Convert to fraction form
    2,287.65/3,430.94 = 988.41/x
  3. Step 3: Cross multiply
    2,287.65x = 3,430.94 × 988.41
  4. Step 4: Simplify right side
    2,287.65x = 3,391,170.46
  5. Step 5: Solve for x
    x = 3,391,170.46/2,287.65
  6. Step 6: Final answer
    x = 1,482.38

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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.