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Finding the Fourth Proportional to 19,287.65, 28,942.40 and 7,609.07

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Solution

The fourth proportional to 19,287.65, 28,942.40 and 7,609.07 is: 11,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,287.65 : 28,942.40 = 7,609.07 : x
  2. Step 2: Convert to fraction form
    19,287.65/28,942.40 = 7,609.07/x
  3. Step 3: Cross multiply
    19,287.65x = 28,942.40 × 7,609.07
  4. Step 4: Simplify right side
    19,287.65x = 220,224,564.81
  5. Step 5: Solve for x
    x = 220,224,564.81/19,287.65
  6. Step 6: Final answer
    x = 11,417.91

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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.