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Finding the Fourth Proportional to 4,689.65, 7,031.17 and 2,347.99

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Solution

The fourth proportional to 4,689.65, 7,031.17 and 2,347.99 is: 3,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.65 : 7,031.17 = 2,347.99 : x
  2. Step 2: Convert to fraction form
    4,689.65/7,031.17 = 2,347.99/x
  3. Step 3: Cross multiply
    4,689.65x = 7,031.17 × 2,347.99
  4. Step 4: Simplify right side
    4,689.65x = 16,509,102.21
  5. Step 5: Solve for x
    x = 16,509,102.21/4,689.65
  6. Step 6: Final answer
    x = 3,520.33

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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.