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Finding the Fourth Proportional to 19,095.69, 28,638 and 8,002.08

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Solution

The fourth proportional to 19,095.69, 28,638 and 8,002.08 is: 12,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,095.69 : 28,638 = 8,002.08 : x
  2. Step 2: Convert to fraction form
    19,095.69/28,638 = 8,002.08/x
  3. Step 3: Cross multiply
    19,095.69x = 28,638 × 8,002.08
  4. Step 4: Simplify right side
    19,095.69x = 229,163,567.04
  5. Step 5: Solve for x
    x = 229,163,567.04/19,095.69
  6. Step 6: Final answer
    x = 12,000.80

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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.