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Finding the Fourth Proportional to 17,989.65, 26,982 and 4,842.81

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Solution

The fourth proportional to 17,989.65, 26,982 and 4,842.81 is: 7,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989.65 : 26,982 = 4,842.81 : x
  2. Step 2: Convert to fraction form
    17,989.65/26,982 = 4,842.81/x
  3. Step 3: Cross multiply
    17,989.65x = 26,982 × 4,842.81
  4. Step 4: Simplify right side
    17,989.65x = 130,668,699.42
  5. Step 5: Solve for x
    x = 130,668,699.42/17,989.65
  6. Step 6: Final answer
    x = 7,263.55

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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.